chat GPT response: The expression 0^0 is mathematically undefined, and its value is considered an indeterminate form. This means that there is no universally agreed-upon value for 0^0, and its interpretation can vary depending on the context. In some mathematical contexts, 0^0 is treated as 1 for the sake of simplifying certain calculations and formulas. However, in other contexts, it is left undefined, and the result is considered indeterminate. It's important to be aware of the specific mathematical or computational context you are working in, as the interpretation of 0^0 can vary and should be handled accordingly based on the conventions of that context.
By that logic... 5¹ = 5³ × 5-² = 5 Now "WE KNOW" that : 0³=0 and 0²=0 and 0¹=0 So what your logic says is that : 0¹ = 0³ × 0-² = 0/0 = Not Defined.. So your logic is wrong as it proves 0¹ is Not defined... When in fact it is equal to 0 itself
There are several very important mathematical theorems that require 0⁰ = 1. Thus, many or most mathematicians have simply defined 0⁰ = 1 without formal proof. There are a few mathematicians who disagree and assert that 0⁰ is indeterminate or undefined
Hii Sir I found this from Wikipedia Zero to the power of zero, denoted by 0⁰, is a mathematical expression that is either defined as 1 or left undefined, depending on context.
@@itjusttomholland How? Anything tends to zero but it's power is exactly 0 then the result is always one. I didn't say something tends to zero and it's power too tends to zero. And in that case you may have been right.
@@abhilashpradhan7671 yes, you are right anything tends to zero its power exact zero is indeed 1. But if anything tends to zero and its power also tends to zero then we can see some different results.
Exactly! Exact Zero to the power Exact Zero is undoubtedly undefined, only a fool would question it. Approx 0 to the power Approx will be 1 (Approximated).
When considering exponentiation, we often encounter the case of x⁰. This can be expressed as X¹-¹, or equivalently, X¹/X¹, which simplifies to X/X, resulting in 1. Therefore, any nonzero number raised to the power of zero equals 1. Now, let's delve into the case of 0^x, where x is a positive number. This evaluates to 0 because multiplying zero any number of times still yields zero. This aligns with the intuitive notion that zero multiplied by anything is still zero. However, when we encounter the expression 0⁰, it proves to be a special case. Mathematically, it can be written as 0¹-¹ or 0¹/0¹, both of which lead to the indeterminate form 0/0. In mathematics, dividing any number by zero is not defined, hence 0⁰ remains an undefined expression.
Sir yeh joh hain limits use karke banaya gaya hain. Yeh doh zeros kay war koh resolve karne kay liye, unhone dekha kay kaunsa zero jyada powerful hain. limit [ x --> 0+ ] x ^ x = 1 yeh correct hain. Iska matlabh hain kay jaise tum zero kee taraf move karoge, waise khopadi waala zero win kar jaata hain. Iska mathematical implication bhi hain. x^y agar y integer hota hain, toh iska result hota hain x^y = [Multiplicative Identity] [ (* x) .... (y times) ] Agar zero^zero plug karo toh yeh ho jayega 0^0 = [Multiplicative Identity] [ (* 0) .... (0 times) ] Yeh joh (0 times) hain woh jeet jayega, kyonkay tum zero se multiply hee nahin karoge, toh doosre zero ka asar hee nahin hoga. Yehi wajah bhi hain kay woh limit joh hain tesnds to 1 hota hain. 0^0 = 1
I guess you have to check kay yeh rules aaye kahaan se. RULE: n^0 = 1 because n^0 = [Multiplicative Identity] [ (* n) .... (0 times) ] Since you multiply by n zero times, you do not actually multiply by n at all and all you will be left with is the [Multiplicative Identity] which is 1. Hence n^0 = 1. This works even when n = 0. You do not multiply by the n or zero and hence you still get the Multiplicative identity of 1. This gives 0^0 = 1. RULE: 0^n = 0 because 0^n = [Multiplicative Identity] [ (* 0) .... (n times) ] Here the answer is always zero because it does not matter how many times you multiply by zero, the answer will be zero, except for the case when you multiply by zero, zero times, meaning you do not multiply by zero at all. In that case this rule of thumb fails and does not apply, for the reasons mentioned above.
Sir, I thank you for such an informative video. Please, prepare a video describing difference between not defined, not valid, indeterminate, infinity and minus infinity. Is it true that f(x) = x raised to power is 1 for all x= R-{0} and f(x) is undefined at x=0. Is it true that right side limit of f(x) tending to 0 is 1 and left side limit of f(x) tending to 0 is 1. Is it true that g(x) =0 raised to power x is zero for all x=[0, infinity) ? Whether g(x) is undefined or infinity for all x=( minus infinity, 0). What is left side and right side limit of g(x) tending to 0 ? What are infinity and minus infinity? Are they any undefined numbers or indeterminate quantities or some sort of concepts ?
Sir can we find the value of 0 power 0 by using limits Let limit x tending to zero xpower x then upon simplifying we get lt e^xlnx And then we get 0 power 0 =1 Pls correct me if i am wrong
Sir, we read in LIMIT ( Maths ) , 0 ( approx zero ) to the power 0 (approx zero ) Indeterminate form hota hai. And 0 ( excited zero ) to the power 0 ( excited zero ) is UNDEFINE. 😮😮
Actually for this, first I am proving why a⁰ = 1, for some number a other than 0. a⁰ = a^(n-n) = (a^n)/(a^n) that simplifies to 1. ('n' is any number). Now, coming to the topic, a^0 = a^(n-n) Putting a=0, 0^0 = 0^(n-n) 0^0 = (0^n)/(0^n) Now anything to the power 0 is 0 (n≠0) Therefore, 0^0 = 0/0 which is the famous indeterminate form of mathematics, 0/0 !!!!
Sir then whole binomial is wrong because ... (a + b )² = a² × b⁰ + 2 ab + b²× a⁰ Let a = 1 and b = 0 (1+0)² = 1 × 0⁰ + 2 × 1 × 0 + 0² × 1⁰ 1 = 1 × 0⁰ It is only possible when 0⁰ = 1....
Here is my derivation guys 😊😊 Let X = 0^3 ÷ 0^3 = 0^(3-3) = 0^0 Now we know 0^3 = 0 ..... (1) HERE X = 0^3 ÷ 0^3 = 0 ÷ 0 (BY 1) = NOT DEFINED!! So, 0^0 = Not Defined
Let X = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Let S ⊆ X be such that any nonnegative integer n can be written as p + q where the nonnegative integers p, q have all their digits in S. Find the smallest possible number of elements in S. **Sir please solution samjha di jie**
Day 323 of asking for a video on golden ratio. Sir ab to request karte karte 1 saal khatm hone wala hai. Please sir ab to bana dijiye video. Like this comment so that Aman sir can see it 😢. Guys please help me 🙏
Yha bakchodi krne se kuch nhi hoga . Koi bhi teacher bs guide kr skta h dimaag tujhe hi istemal krna h jyada se jyada . I know it has become a tendency of more than 90% of students to join tutions . Mathematics is that beautiful subject that the more you spend time with it the more confident you will become to deal with it . (A self taught 12 standard passout student).
@@diveshmittal5091bhai bakchodi nahi kar rha observe kar rha hu. 31 December ko Is channel ki cyber complaint karne waala hu. Ya fir ye channel h*ck karva dunga. Ye channel down hoga 😡. Andar me gussa hi gussa bhara hai
Here is the reason, This is because X^0 can be written as =X^y-y =X^y/X^y =1 So for any value of x with power 0 is 1 Same way, 0^0 =0^y-y =0^y/0^y =0/0 (power on 0 is always 0) As 0/0is not defined So, 0^0 is not not defined
Google AI response 🕶️: The value of 0⁰ is **undefined**. This is because there are two different ways to interpret 0⁰, and they lead to two different results: * **Anything raised to the power of 0 is 1.** This is true for all numbers except for 0. For example, 1⁰ = 1, 2⁰ = 1, and 10⁰ = 1. * **0 raised to any power is 0.** This is true for all positive and negative powers, including the power of 0. For example, 0¹ = 0, 0² = 0, and 0³ = 0. So, which interpretation is correct for 0⁰? On the one hand, it seems like 0⁰ should be 1, because anything raised to the power of 0 is 1. On the other hand, it seems like 0⁰ should be 0, because 0 raised to any power is 0. Mathematicians have decided that the best way to resolve this ambiguity is to define 0⁰ as undefined. This means that there is no single, agreed-upon answer to the question "What is 0⁰?" In some cases, it may be convenient to define 0⁰ as 1 for certain mathematical applications. However, it is important to be aware that this is not a standard definition, and it is important to be clear about how you are defining 0⁰ before using it in any mathematical calculations.
Sir bhut mst.....smjhaya..ma to 1 lkihti thi...ya please maxima minima k full chap upload krdijiya Maine sari playlist ki video dekhi...complete chap nai h APPLICATIONS OF DERIVATIVES K
Let X = 0^n / 0^n (n belongs to positive integers) X = 0 / 0 = 0^(n-n) = 0^0 0^0 = 0/0 Since RHS is not defined LHS is also not defined 0^0 is indeterminate
Sir hum 0^0 ko exactly compute nhi kr skte clash of definition ki wajah se lekin hum iski limit calculate kr skte h as : lim x->0 x^x=1. Ye value kayi fields me use hoti h limit nikal kr.
Sir we can do like this also Now 0 to the power 0 can be written as 0 to the power 1-1 and 0 raise to the power 1-1 can be written as 0/0 which is absolutely a not defined ratio . Sir is it correct please tell me sir ❤❤
wrong as zero approaaching raise to the the power zero approaching is an indeterminate form. not exact zero raise to the power exact zero is indeterminate.
Aman bhai you r a good mathematics teacher.I just wanna add one thing over here.0^0 is not not defined quantity. It is indeterminate and indeterminate is the boundary between defined and not defined quantity. In fact 0^0 is equivalent of 0/0.
sir but there are many proofs with limits binomial and others shwoing approximate it shhould be 1 and many articles show that it depends what we should use acording to context it has been very controversial and sir y=0^0 ya y=x^x desmos pe banaya to 1 hi aa rha hai
2^1 means 1 is written only once, 2^ 2 means two is written twice similarly 2^0 means 2 is not written and nothing is there, and 0^0 also means that zero is not written and nothing is there which should be same as 2^0 which is 1?
a calculator doesn't matter if it's an app or a physical one They way code using floting points, the results it gives isn't absolutely correct if they code num⁰ to undfiend them every number will be answered as not defined. Basic operation act like that when you code them.
This video is too narrow to explain zero. Please make a comprehensive video on 0 keeping in view nothingness , quantum fluctuation and vacuum/perfect vacuum etc.
Join our Telegram : t.me/bhannatmathsofficial
SIR please Discuss Iota Root of Negative value Root have two values+ and -
Fidonacci series par one video plz
Sir kya koi fraction kabhi negative ho skti h plz make a video on this and also make video on difference between fraction and rational number.
Sir but I know that 0୦=0¹‐¹
How to Solve 69! mysterious Sir
chat GPT response:
The expression 0^0 is mathematically undefined, and its value is considered an indeterminate form. This means that there is no universally agreed-upon value for 0^0, and its interpretation can vary depending on the context.
In some mathematical contexts, 0^0 is treated as 1 for the sake of simplifying certain calculations and formulas. However, in other contexts, it is left undefined, and the result is considered indeterminate.
It's important to be aware of the specific mathematical or computational context you are working in, as the interpretation of 0^0 can vary and should be handled accordingly based on the conventions of that context.
Right
The reason behind x⁰ = 1
5⁰ = 5¹ x 5-¹ = 5¹/5¹ = 1
Similarly
0⁰ = 0¹ x 0-¹ = 0¹/0¹ = Not Defined
By that logic...
5¹ = 5³ × 5-² = 5
Now "WE KNOW" that :
0³=0 and 0²=0 and 0¹=0
So what your logic says is that :
0¹ = 0³ × 0-² = 0/0 = Not Defined..
So your logic is wrong as it proves 0¹ is Not defined...
When in fact it is equal to 0 itself
@@mayankbarhate9a445 bro forgot that we're told in schools that division by 0 is not allowed in mathematics.
He is saying that by this logic 0¹ will be undefined which is wrong cuz we know 0¹=0×0
=0
@@selfxironCodeslook at the binomial theorem and expansion of e^x,0^0 has to be 1.
0 can divide 0 by any number
There are several very important mathematical theorems that require 0⁰ = 1. Thus, many or most mathematicians have simply defined 0⁰ = 1 without formal proof. There are a few mathematicians who disagree and assert that 0⁰ is indeterminate or undefined
Hii Sir I found this from Wikipedia
Zero to the power of zero, denoted by 0⁰, is a mathematical expression that is either defined as 1 or left undefined, depending on context.
If something tends to 0 then it's power 0 is one.
Exact 0 power zero is undefined
@@abhilashpradhan7671 nope it can be equal to e and 0 too and may be any arbitrary real number.
But exact 0⁰ is undefined.
@@itjusttomholland How? Anything tends to zero but it's power is exactly 0 then the result is always one.
I didn't say something tends to zero and it's power too tends to zero. And in that case you may have been right.
@@abhilashpradhan7671 yes, you are right anything tends to zero its power exact zero is indeed 1.
But if anything tends to zero and its power also tends to zero then we can see some different results.
lim(x->0) x^x = y
x.lnx = lny
= (lnx)/(1/x) [infi/infy]
= (1/x)/(-1/x^2) [L Hospital]
= -x
= 0 = lny
y = e^0
y=1 , therefore is an approximated result....
Here x is tending to zero not exact zero
@@aashishkumar9658 indeed , so i have added "approximated"
X tends to 0 not equals 0
Exactly! Exact Zero to the power Exact Zero is undoubtedly undefined, only a fool would question it. Approx 0 to the power Approx will be 1 (Approximated).
@@vanionings a wise man can learn more from a foolish question than a fool can learn from a wise answer
- Bruce Lee
That's why you're my fav teacher in whole entire the world 😊❤
Me using 5th grade logic
Let 0⁰=x
Squaring on both sides
0⁰=x²
Observing both equations
x²=x
x²-x=0
x=0 or x=1
Dont judge me Im just 7th grade 😅
squaring results in extratenous roots
When considering exponentiation, we often encounter the case of x⁰. This can be expressed as X¹-¹, or equivalently, X¹/X¹, which simplifies to X/X, resulting in 1. Therefore, any nonzero number raised to the power of zero equals 1.
Now, let's delve into the case of 0^x, where x is a positive number. This evaluates to 0 because multiplying zero any number of times still yields zero. This aligns with the intuitive notion that zero multiplied by anything is still zero.
However, when we encounter the expression 0⁰, it proves to be a special case. Mathematically, it can be written as 0¹-¹ or 0¹/0¹, both of which lead to the indeterminate form 0/0. In mathematics, dividing any number by zero is not defined, hence 0⁰ remains an undefined expression.
Sir Mera question plz solve kijiye.
If A,B,C....Z are in A.P.,then find value of tan(-A-B+C+D....+Y+Z)+tan(A-B-C+D+E...+Y+Z)+....tan(A+B+......-Y-Z).
Padh lo padh, comment mat pado !!
Jai shree Ram
Jai shree krishna
Hai Hanuman
Jai jagannath
Jai mata Di
Jai Hind
🚩🕉️🇮🇳
Sir yeh joh hain limits use karke banaya gaya hain.
Yeh doh zeros kay war koh resolve karne kay liye, unhone dekha kay kaunsa zero jyada powerful hain.
limit [ x --> 0+ ] x ^ x = 1 yeh correct hain. Iska matlabh hain kay jaise tum zero kee taraf move karoge, waise khopadi waala zero win kar jaata hain. Iska mathematical implication bhi hain.
x^y agar y integer hota hain, toh iska result hota hain
x^y = [Multiplicative Identity] [ (* x) .... (y times) ]
Agar zero^zero plug karo toh yeh ho jayega
0^0 = [Multiplicative Identity] [ (* 0) .... (0 times) ]
Yeh joh (0 times) hain woh jeet jayega, kyonkay tum zero se multiply hee nahin karoge, toh doosre zero ka asar hee nahin hoga. Yehi wajah bhi hain kay woh limit joh hain tesnds to 1 hota hain.
0^0 = 1
I guess you have to check kay yeh rules aaye kahaan se.
RULE:
n^0 = 1
because
n^0 = [Multiplicative Identity] [ (* n) .... (0 times) ]
Since you multiply by n zero times, you do not actually multiply by n at all and all you will be left with is the [Multiplicative Identity] which is 1. Hence n^0 = 1. This works even when n = 0. You do not multiply by the n or zero and hence you still get the Multiplicative identity of 1. This gives 0^0 = 1.
RULE:
0^n = 0
because
0^n = [Multiplicative Identity] [ (* 0) .... (n times) ]
Here the answer is always zero because it does not matter how many times you multiply by zero, the answer will be zero, except for the case when you multiply by zero, zero times, meaning you do not multiply by zero at all. In that case this rule of thumb fails and does not apply, for the reasons mentioned above.
Absolute reasoning in your defination...
One of the best teacher ❤️ in maths
Bahat interesting video hai sir,,, aise video dalta raho...
Sir, I thank you for such an informative video. Please, prepare a video describing difference between not defined, not valid, indeterminate, infinity and minus infinity. Is it true that f(x) = x raised to power is 1 for all x= R-{0} and f(x) is undefined at x=0. Is it true that right side limit of f(x) tending to 0 is 1 and left side limit of f(x) tending to 0 is 1.
Is it true that g(x) =0 raised to power x is zero for all x=[0, infinity) ? Whether g(x) is undefined or infinity for all x=( minus infinity, 0). What is left side and right side limit of g(x) tending to 0 ?
What are infinity and minus infinity? Are they any undefined numbers or indeterminate quantities or some sort of concepts ?
Sir can we find the value of 0 power 0 by using limits
Let limit x tending to zero xpower x then upon simplifying we get lt e^xlnx
And then we get 0 power 0 =1
Pls correct me if i am wrong
0^0 = 0 tending
This has been proved by the Same McDonald's Worker you once told about Sir
mr BlackPenRedPen
Yes but he gave some another examples too where it is equal to e and 1
Sir, we read in LIMIT ( Maths ) , 0 ( approx zero ) to the power 0 (approx zero ) Indeterminate form hota hai. And 0 ( excited zero ) to the power 0 ( excited zero ) is UNDEFINE. 😮😮
Actually for this, first I am proving why a⁰ = 1, for some number a other than 0.
a⁰ = a^(n-n) = (a^n)/(a^n) that simplifies to 1. ('n' is any number).
Now, coming to the topic,
a^0 = a^(n-n)
Putting a=0,
0^0 = 0^(n-n)
0^0 = (0^n)/(0^n)
Now anything to the power 0 is 0 (n≠0)
Therefore,
0^0 = 0/0 which is the famous indeterminate form of mathematics, 0/0 !!!!
But that way anything to power of 0 should be not defined.
0^1 can be written as 0^2-1=0^2/0^1=0/0
Sir then whole binomial is wrong because ...
(a + b )² = a² × b⁰ + 2 ab + b²× a⁰
Let a = 1 and b = 0
(1+0)² = 1 × 0⁰ + 2 × 1 × 0 + 0² × 1⁰
1 = 1 × 0⁰
It is only possible when 0⁰ = 1....
Here is my derivation guys 😊😊
Let X = 0^3 ÷ 0^3 = 0^(3-3) = 0^0
Now we know 0^3 = 0 ..... (1)
HERE X = 0^3 ÷ 0^3 = 0 ÷ 0 (BY 1) = NOT DEFINED!!
So, 0^0 = Not Defined
These laws are only applicable when x does not equal to 0
0¹=0²-0¹=0/0=not defined but we know 0¹=0, hence your prove is invalid as if your prove is true then it also implies any power to zero is undefined
Sir ne to meri khopadi khol di 😮
My concept:-
a⁰
=a^(1-1)
=a¹÷a¹
=1
So, 0⁰
=0^(1-1)
=0¹÷0¹
=Undefined (since any number by zero is undefined)
Let X = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Let S ⊆ X be such that any nonnegative integer n can be
written as p + q where the nonnegative integers p, q have all their digits in S. Find the smallest
possible number of elements in S.
**Sir please solution samjha di jie**
Day 323 of asking for a video on golden ratio. Sir ab to request karte karte 1 saal khatm hone wala hai. Please sir ab to bana dijiye video.
Like this comment so that Aman sir can see it 😢.
Guys please help me 🙏
Bhai Jake padhle
@@adityasart2644nahi samaj aaya. Koi Aman sir se accha maths nahi pada pata
Yha bakchodi krne se kuch nhi hoga . Koi bhi teacher bs guide kr skta h dimaag tujhe hi istemal krna h jyada se jyada . I know it has become a tendency of more than 90% of students to join tutions . Mathematics is that beautiful subject that the more you spend time with it the more confident you will become to deal with it .
(A self taught 12 standard passout student).
@@diveshmittal5091bhai bakchodi nahi kar rha observe kar rha hu.
31 December ko Is channel ki cyber complaint karne waala hu.
Ya fir ye channel h*ck karva dunga. Ye channel down hoga 😡.
Andar me gussa hi gussa bhara hai
a^b+b^a=32 a+b=6 discuss in detail explanation
Here is the reason,
This is because
X^0 can be written as
=X^y-y
=X^y/X^y
=1
So for any value of x with power 0 is 1
Same way,
0^0
=0^y-y
=0^y/0^y
=0/0 (power on 0 is always 0)
As 0/0is not defined
So, 0^0 is not not defined
If we go by your logic:
0³ = 0⁵ x 0^-3
= 0/0 then it's also indeterminate but we know 0³= 0
Also you can get another undefined solution as follows
0⁰=0^(1-1)
=0/0
Is 1 or undefined
Google AI response 🕶️:
The value of 0⁰ is **undefined**.
This is because there are two different ways to interpret 0⁰, and they lead to two different results:
* **Anything raised to the power of 0 is 1.** This is true for all numbers except for 0. For example, 1⁰ = 1, 2⁰ = 1, and 10⁰ = 1.
* **0 raised to any power is 0.** This is true for all positive and negative powers, including the power of 0. For example, 0¹ = 0, 0² = 0, and 0³ = 0.
So, which interpretation is correct for 0⁰?
On the one hand, it seems like 0⁰ should be 1, because anything raised to the power of 0 is 1. On the other hand, it seems like 0⁰ should be 0, because 0 raised to any power is 0.
Mathematicians have decided that the best way to resolve this ambiguity is to define 0⁰ as undefined. This means that there is no single, agreed-upon answer to the question "What is 0⁰?"
In some cases, it may be convenient to define 0⁰ as 1 for certain mathematical applications. However, it is important to be aware that this is not a standard definition, and it is important to be clear about how you are defining 0⁰ before using it in any mathematical calculations.
We want a video on *class 11th topics (not chapters) that will be used in class 12th*
Ye manta h janta
I'm the engineer of the calculator
Sir bhut mst.....smjhaya..ma to 1 lkihti thi...ya please maxima minima k full chap upload krdijiya Maine sari playlist ki video dekhi...complete chap nai h APPLICATIONS OF DERIVATIVES K
Let X = 0^n / 0^n (n belongs to positive integers)
X = 0 / 0 = 0^(n-n) = 0^0
0^0 = 0/0
Since RHS is not defined LHS is also not defined
0^0 is indeterminate
bro no
by this logic if we take 0^1=0^[2-1]=0^2/0^1=0/0. so by this logic 0=0/0=not defined
0 power of 0 is tending to 1; but not definitely 1.
I'd like to correct him. you see
for a given x^x expression for all x
Sir hum 0^0 ko exactly compute nhi kr skte clash of definition ki wajah se lekin hum iski limit calculate kr skte h as : lim x->0 x^x=1. Ye value kayi fields me use hoti h limit nikal kr.
(0)⁰
(a-a)²⁻²
(a-a)²/(a-a)²
(a²+a²-2a²)/(a²+a²-2a²)
1/1= 1 ans
Another way
X=0⁰
Taking log both side
LogX=log0⁰
Logx=0(log0)
Logx=0
X=e⁰
X=1
🤔
In your first proof, you are dividing a quantity by (a-a) ^2, i.e., by 0^2, i.e., by 0 which is undefined.
In your second proof log 0 is undefined.
In both your explanations , you are breaking the rules of maths
just say it Normally,in first solution u cancelled 0/0 ,and in the 2nd solution log(0) is not defined
Sir ye question mere dimaag Mai aaya tha kal aur aaj apne ishka solution de diya 😊
0to the power is 1
Don't tell anything comes to ur mind
Sir we can do like this also
Now 0 to the power 0 can be written as 0 to the power 1-1 and 0 raise to the power 1-1 can be written as 0/0 which is absolutely a not defined ratio .
Sir is it correct please tell me sir ❤❤
कहानी खत्म हो चुकी है यानि "सन्नाटा" छा गया गणितज्ञों के समाज में 😅😅😅
It is undetermined form
It is one of 1 million dollars question ❤❤
wrong as zero approaaching raise to the the power zero approaching is an indeterminate form. not exact zero raise to the power exact zero is indeterminate.
its not defined
Are bhai use fark nhi padta ki niche kya hai
Agr power 0 ho toh 1 hi banega
Chahe niche 00000 ki power 0 kyu hi na ho 😂😂
If x=0, then 0^0=x^x . As we know that x^x = x×x which implies that 0×0=0. So 0^0=0. Naa Teri Naa meri 😂.
Sir your teaching faculty is best for basic of math
Sir i have a question
A power'c+ 32-16 =326
Dear teacher if I will make 0-powers-0=1 then
Any number cannot be divided by 0. Doing so is just idiotic. Any number divided by 0 is left undefined
Answer undefined because kuch nahi Matlab log hain to log 0 undefined
Aman bhai you r a good mathematics teacher.I just wanna add one thing over here.0^0 is not not defined quantity. It is indeterminate and indeterminate is the boundary between defined and not defined quantity. In fact 0^0 is equivalent of 0/0.
0⁰= 0 to the power n-n = 0ⁿ/0ⁿ= 0/0= indefinite
Sir mock theta function
Explain kar digea please
If sir said, "Google ka calculator Battamizi kar raha hai" to kar raha hai.
Are wah new vedio agaya kuch sikhke jayenge
Amazing sagacious maths legend❤
sir but there are many proofs with limits binomial and others shwoing approximate it shhould be 1 and many articles show that it depends what we should use acording to context it has been very controversial
and sir y=0^0 ya y=x^x desmos pe banaya to 1 hi aa rha hai
0^0 has to be 1, binomial theorem can be used as an example to prove this
HOW??
Sir aap jo you tube plan discuss kiye the wo laiyega ya yese hi tha
Sir, maths padhana mat chorriyega 🙏 aap ho tabhi humara maths hai
Sir if x^x=0 then x ki value kya hogi?
Sir I think....0^0 is indeterminate no. And 0^-0 is not defined
I TRIED TO FIND
0^0
=(2-2)^0
=2^0-2^0
=1-1
=0
PLZ TELL AM I RIGHT OR WRONG
Totally wrong😂
First you need to understand (a+b)^n ≠ a^n + b^n
Thank you sir.
Sir my question is what is the difference between infinity and not defined
2^1 means 1 is written only once, 2^ 2 means two is written twice similarly 2^0 means 2 is not written and nothing is there, and 0^0 also means that zero is not written and nothing is there which should be same as 2^0 which is 1?
0⁰ is infinite according to sir Isaac Newton
Clash nahi kuch nahi anything power zero is one . Zero is nothing one so nothing power zero is o only
sir, please make a video on the topic of " how to calculate degrees between two hands of a clock".
Sir aap kis application par padhate hai please comment kare
2:03 2:11
Sir 35 years old iota wala question ka solution dijiye please sir, bohot confusing honrahi hain
Interesting topic
Sir ji indeterminate kya hota hai?🙄🙄🙄
Sir aapka full course mil jayega kya ??
Integration from the-infine to +infine 1/1+(x+tanx)^2 DX =π
Sir please 🙏🙏make a video on complete scientific explanation...
Sir, 0/0=? Please tell this.🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻
Not defined
Sir ya v bataiya please
a+b=6
a^b+b^a=32
a^b^a+b^a^b=???
Bhai Maine bohot kosish ki -
a^b^a + b^a^b
= a^ab + b^ab
= 1^ab(a+b)
= 1^ab*6
6^ab
a + b = 6
a^b + b^a = 6^ab
6^ab = 32
Therefore a^b^a + b^a^b = 32
Edit : sorry galat hoh gaya 😢
@@debalinabose1022 koi baat nahi hota hai
Sir Google calculator me 1/0 infinity dikhata hai
Sir, then 0 power any negative number will aslo be undefined ?
@BHANNATMATHS sir aap kaha se hoh ?
a calculator doesn't matter if it's an app or a physical one
They way code using floting points, the results it gives isn't absolutely correct if they code num⁰ to undfiend them every number will be answered as not defined. Basic operation act like that when you code them.
0^0 = Indeterminate
Because 0^0 We can also write it like this: 0^1-1
2) 0^1/0^1
3) 0/0
4) अनिर्धारय रूप
That solve.
Pin my comment sir
Thank you sir jiii🎉😊❤
sir kaha rahete hai pata hai kya bhai ?
Base zero is feeling sad because google engineer betrayed him
Without saying this type of faltu sayree,,if you can solve directly then I think people will like your channel and subscribe it more concrete...
Thnk u sir😊
Sir You are the best
Sir why x² is positive
Plz tell 🙏🙏
X=-1 so x²=(-1)²=+1(x is negative)
X=1 so x²=(1)²=1( x is positive)
So x² is always positive
What if x is √-1 or any other complex number?? Btw thanks for replying
@@ItzManik70 x^2>0 for x€R
X^2
@@AnimeshRoy07 why we take it + always
1:51 Maine kuch aur hi sun liya 💀💀💀
Sir please make a video on tetration of numbers ❤❤
- * - = + kaisa hota hain sir
1:43 let 1 and 0 be at super position
or after pact between both zeroes it would be 0.5
Sir aapse contact kaise kare koi toh option dijiye n
Sir 0 power infinite kya hota h
When clash of definition occurs expression becomes indeterminate
This video is too narrow to explain zero. Please make a comprehensive video on 0 keeping in view nothingness , quantum fluctuation and vacuum/perfect vacuum etc.
Sir I have a doubt : which one is rational number 2^e or e^2 ? Plz give response
Both
Sir log0⁰=?
Love your all videos ❤