0^0 is defined to be" 1 "and it is not undefined.Actually, it is the modern convention that allows 0^0 to be defined as one. Bcoz if this convention is not followed then binomial theorem, geometric series, polynomials and many more theories in mathematics cannot work for some specific cases . FOR EG :The infinite sum of geometric series is : 1/(1- x) = x^0 + x^1 + x^2 + ..... ........(for |x| < 1) Plugging x = 0, we get, 1 = 0^0 + 0^1 + 0^2+....... Thus, 0^0 = 1... This is just one reason for many. In most areas of mathematics such as set theory ,algebra, etc Mathematicans define it to be 1"
If you state that 0^0 = 0^(1-1) = 0/0 and further state that 0^0 is undefined then it is totally fallacious. Bcoz it will cause contradictions. For eg : We all know that 0 is perfectly well defined. 0 = 0^1 = 0^(n+1-n) = 0^(n+1)/0^n = 0/0 which implies zero is not defined which is totally nonsense. So, this also contradicts your thinking about the law of indices.
It was that great mathematician Leonhard Euler who discovered the number e and calculated its value to 23 decimal places. It is often called Euler's number and, like pi, is a transcendental number (this means it is not the root of any algebraic equation with integer coefficients). Its properties have led to it as a "natural" choice as a logarithmic base, and indeed e is also known as the natural base or Naperian base (after John Napier).2.71828182845904523536028747135266249775724709369995.
The value of e=2.718 And it is often known as `Euler`s number` after Leonhard Euler e is a irrational no e is a natural logarithm base (invented by John Napier)
Sir aaj tak maine bahut se teachers se पढ़ा hai लेकिन aapke jaise math koi nhi पढ़ाता hai ..... aap math ko bahut simple form me batate hai.... lekin aapke videos pe viwes nhi aate hai 😑 .....
Respected Sir agar sab teachers apke tarha atchese aur majedar banakar sikhata toh ek bhi chapter se ek doubt bhi nahi reheta leken bohot Kam lok hai Jo aap ke jaisa hai sikhate hai...THANK YOU SO MUCH SIR 👏
The number e, known as Euler's number, is a mathematical constant approximately equal to 2.71828, and can be characterized in many ways. It is the base of the natural And invented by sir Leonhard Euler
Nice vedio ...your way of teaching is very interesting..specially that one hm to bahobali hai katpa mera dost hai 🤣..keep it up sir you are doing great work...😁👍
It was that great mathematician Leonhard Euler who discovered the number e and calculated its value to 23 decimal places. It is often called Euler's number and, like pi, is a transcendental number (this means it is not the root of any algebraic equation with integer coefficients).
This is what I was searching on u tube... Thank u very much... Actually, I couldn't understand the meaning of LIMIT scientifically even after 5 hours 19:00-24:00 hours. And, Finally, I kept books aside and came on u tube, that too taking my leaved phone back. Thank u so much. Hey, just now 1:00 at night it THUNDERED very hard. I thought my life gone but Thank god, Bach gaya..😔😣 Really...bahut bhayanak tha.. Khair, Thank u very much sir... Tabhi to problem hai Meri...... Distract ho gaya Na...😴 Bak-bak Karne laga... Overexcited ho jata Hoon....khair...let me complete the lecture... Yaar...lakin phir thundering hui..... Mahindra, ye aaj ki fast Meri aakhiri fast to Nahi..🙄😑 Dar bhi lag gaya hai....khair...forget...
@@KaifKhan-mk4ik bhai ismein gali dene wali kaun so baat thi... Jaan na pehchan kisi se bhi gali ke muh baat krne lg rhe ho... Aur yaar main to tumhe bhai keh RHA hoon.... To samajh lo tumne apni hi ma ko kya keh rhe ho... Lakin chinta mat kro...mujhe pata h, tumhari ammi waisi nhi hain...
It was that great mathematician Leonhard Euler who discovered the number e and calculated its value to 23 decimal places. It is often called Euler's number and, like pi, is a transcendental number (this means it is not the root of any algebraic equation with integer coefficients This was the answer sir
mathematician Jacob Bernoulli The constant was discovered by the Swiss mathematician Jacob Bernoulli while studying compound interest. The number e has eminent importance in mathematics, alongside 0, 1, π, and i. I know that ans
Knowledge doesn't matter the way u explain is everything .i really love ur teaching style . My first view and first feedback only by seeing 1 lecture.✨🖤 Thnx U sir G .
Leonhard euler discovered e Its value is 2.7182818284...... EDIT :I don't know why so many people in the comments r saying e is invented by John Napier, just Google it
mathematician Leonhard Euler finds the number e and The value of e is 2.718281828459045…so on. Just like pi(π), e is also an irrational number. It is described basically under logarithm concepts.
thank you so much sir for the wonderful explanation... i m really really thankful to u....sir..because i don't go to any coaching centre but i still believe myself that i will score very well and ur support is enough ...sir.. and JOHN NAPIER invented e
Sir i fully and clearly understood. Your teaching way is very fun and understanding. I wanna say huge thank you to you for making us understand so clearly. I really appreciate your videos and you teach very well sir. I hope your videos are recognized by many people.
Leonhard euler invented the number 'e' and it's value is ( not the Root of any algebraic equations with integer and coefficients) and it's approximate value is 2.718 sir
e was invented by Jacob Bernoulli and the value of e is approximately 2.718.The exponential constant is an important mathematical constant and is given the symbol e. Its value is approximately 2.718.
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0^0 is defined to be" 1 "and it is not undefined.Actually, it is the modern convention that allows 0^0 to be defined as one. Bcoz if this convention is not followed then binomial theorem, geometric series, polynomials and many more theories in mathematics cannot work for some specific cases . FOR EG :The infinite sum of geometric series is : 1/(1- x) = x^0 + x^1 + x^2 + ..... ........(for |x| < 1) Plugging x = 0, we get,
1 = 0^0 + 0^1 + 0^2+.......
Thus, 0^0 = 1... This is just one reason for many. In most areas of mathematics such as set theory ,algebra, etc Mathematicans define it to be 1"
If you state that 0^0 = 0^(1-1) = 0/0 and further state that 0^0 is undefined then it is totally fallacious. Bcoz it will cause contradictions.
For eg : We all know that 0 is perfectly well defined.
0 = 0^1 = 0^(n+1-n) = 0^(n+1)/0^n = 0/0
which implies zero is not defined which is totally nonsense. So, this also contradicts your thinking about the law of indices.
You have said many more things wrong in this video.
E~maximum , continuous,100% one time compounding growth period ,171.8% growth. ( E~ 2.718✔️✔️✔️✔️✔️✔️🙏🙏
It was that great mathematician Leonhard Euler who discovered the number e and calculated its value to 23 decimal places. It is often called Euler's number and, like pi, is a transcendental number (this means it is not the root of any algebraic equation with integer coefficients). Its properties have led to it as a "natural" choice as a logarithmic base, and indeed e is also known as the natural base or Naperian base (after John Napier).2.71828182845904523536028747135266249775724709369995.
As a maths lecturer ,am just saying you, "Good Going sir ji".
Best wishes to you.
4
Who is watching this in 2024
Me
Last month of 2023...
Dec bro
Me😅
Me
1 = log⁴
2 = 2cos²(18x)
3 = 135°- 3π\4
4 = 300°- 5π\3
And thank you much for video sir 🙏🙏🙏🙏🙏🙏
🤣🤣🤣🤣
Log 4
@@pramodkasaudhan7482 bilkul
@@anime_flex009 ok
What's log⁴........?????¿?¿
The value of e=2.718
And it is often known as `Euler`s number` after Leonhard Euler
e is a irrational no
e is a natural logarithm base (invented by John Napier)
👍
Sir aaj tak maine bahut se teachers se पढ़ा hai लेकिन aapke jaise math koi nhi पढ़ाता hai ..... aap math ko bahut simple form me batate hai.... lekin aapke videos pe viwes nhi aate hai 😑 .....
Respected Sir agar sab teachers apke tarha atchese aur majedar banakar sikhata toh ek bhi chapter se ek doubt bhi nahi reheta leken bohot Kam lok hai Jo aap ke jaisa hai sikhate hai...THANK YOU SO MUCH SIR 👏
1. Log 4 = 0.3
Me Pratosh Lecturer of Mathematics from Nepal.Your teaching style is very good and effective.Thanks a lot
First answer is log 4
Second answer is 4(2)3=32
Third answer is 3(5)2=75
Good
Osm ❤️
You are going good 👍🏻
Third ka ans 75 kese aa raha hai smjha do pls
7:06 is Log4
9:30 is 1) 32 , 2)75
15:22 is 2cos^2(18x)
17:50 is 1
21:55 is 1) 3π/4 , 2) 5π/3
❤Thank you very much sir 🙏
3rd ka ans 2cos^2(18x) hai
@@ahuman7004 yes exactly 👍
the value of "e" is approximately 2.718
and The number e was first studied by the Swiss mathematician Leonhard Euler in the 1720s
Google mara n 🤣🤣🤣🤣
@@manaskriti8274 hor kya yaar
Google se na🤪🤪 don't worry
The number e, known as Euler's number, is a mathematical constant approximately equal to 2.71828, and can be characterized in many ways. It is the base of the natural And invented by sir Leonhard Euler
google se tepke to mai bhi likhdu
You are awesome sir No one explains it the way you do ✨✨✨
After seeing this video i became limitless 😁😀
😅
😂😂
Wow sir bohat easy way main explain Kiya ha. Very Weldon ❤❤❤❤
Leonhard Euler invented no. (e)
e:- use us irrational number (we can't derive in simple friction ) & its also used for log's base (log base e)
Nice vedio ...your way of teaching is very interesting..specially that one hm to bahobali hai katpa mera dost hai 🤣..keep it up sir you are doing great work...😁👍
John napier invented (e) and it's called John napier constant and the value of e I'd lying b/w 2 and 3
That's not so tough in presence of Google
1+(cos(36x)=2cos square (16x)
1+cos (36x)= 2cos square 18x
135 de π\4
4:- log4
7: 06 Ans: log4
this man JUST TAUGHT ME SOMETHING THAT MY TUITION CLASSES TOOK MONTHS TO COMPLETE, IN JUST 22 MINS. AWESOME!!!
You are right.
e number is invention by John Napier. And it's value 2.7182....
Right
Thank you sir... I am from west bengal board but I get a lot help from your videos
All the best
log 4(answer).Thanks sir for this amazing session .I am Subhra from Odisha .🙋♀️💐💐
Thanks
Sorry your answer is wrong
The correct answer is 2log2
@@sanjaysamal8262
Hii
It was that great mathematician Leonhard Euler who discovered the number e and calculated its value to 23 decimal places. It is often called Euler's number and, like pi, is a transcendental number (this means it is not the root of any algebraic equation with integer coefficients).
U have a sharp jawline 🙄 genetics?
Answer:2 cos^(18)
Mai engineering passed student hu..! Gate ka prepration ! Kr rha basic. Concept aapas clear kar rhaa hu repeat !! Nicc lecture!!
Moral of the story is u are limitless sir😊
Thank you so much sir 🙏🙏
This is what I was searching on u tube... Thank u very much...
Actually, I couldn't understand the meaning of LIMIT scientifically even after 5 hours 19:00-24:00 hours.
And, Finally, I kept books aside and came on u tube, that too taking my leaved phone back.
Thank u so much.
Hey, just now 1:00 at night it THUNDERED very hard. I thought my life gone but Thank god, Bach gaya..😔😣
Really...bahut bhayanak tha..
Khair, Thank u very much sir...
Tabhi to problem hai Meri...... Distract ho gaya Na...😴 Bak-bak Karne laga...
Overexcited ho jata Hoon....khair...let me complete the lecture...
Yaar...lakin phir thundering hui.....
Mahindra, ye aaj ki fast Meri aakhiri fast to Nahi..🙄😑
Dar bhi lag gaya hai....khair...forget...
Bsdk apni jeevan katha likh detev
@@KaifKhan-mk4ik bhai ismein gali dene wali kaun so baat thi...
Jaan na pehchan kisi se bhi gali ke muh baat krne lg rhe ho...
Aur yaar main to tumhe bhai keh RHA hoon....
To samajh lo tumne apni hi ma ko kya keh rhe ho...
Lakin chinta mat kro...mujhe pata h, tumhari ammi waisi nhi hain...
@@PrinceKumar-hh6yn are bhaisadi ke itna lamba likha mera time west q kra
@@PrinceKumar-hh6yn aur tu mujhe bhul gya yhi thi apni dosti
what did I just read- nvm
Jaisa chah tha vaisa padhaya very very thanks ❤️❤️❤️❤️
It was that great mathematician Leonhard Euler who discovered the number e and calculated its value to 23 decimal places. It is often called Euler's number and, like pi, is a transcendental number (this means it is not the root of any algebraic equation with integer coefficients
This was the answer sir
mathematician Jacob Bernoulli
The constant was discovered by the Swiss mathematician Jacob Bernoulli while studying compound interest. The number e has eminent importance in mathematics, alongside 0, 1, π, and i.
I know that ans
John Napier invented'e'{(e- it is the base of the natural) logarithms)}
Log4 very simple 😊
Knowledge doesn't matter the way u explain is everything .i really love ur teaching style . My first view and first feedback only by seeing 1 lecture.✨🖤 Thnx U sir G .
Leonhard euler discovered e
Its value is 2.7182818284......
EDIT :I don't know why so many people in the comments r saying e is invented by John Napier, just Google it
lim x tends to 0 then 4^x-1/x=log 4 hoga hai na sir .....
I am iit jee 2023 aspirant and at this time I really find grateful and thankful to get ur lectures it’s amazing 🤩 thank you sirrr 🌈💯🧿
Result kaisa rha bro🦊
Sir a video 11th or 12th dono class ke lye hai?
mathematician Leonhard Euler finds the number e and The value of e is 2.718281828459045…so on. Just like pi(π), e is also an irrational number. It is described basically under logarithm concepts.
The value of e is approax to 2.71828 and invented by John Napier
Awsm Sr ❤️❤️
Mera Motivational Channel Hai ❤️❤️
Thanks ❤️❤️
Welcome
The Journey Of Success to pakaa fail hoga
The value of e." e" is a numerical constant that's equal to 2.71828(approx)
Thank you so much sir ❤❤❤❤❤i have no words for appreciation ❤❤😊
Sir aa gaya samajh me 😂ekdum jhakas waise mai bio ka student hu par new education policy ke wajah se mujhe bhi padhna pad raha hai as extra subject
Number "e" is invented by Leonhard Euler.
Thank you very much sir for this video .
It's alphabet lamao
@@electroprem leave u dont know.... E is a scalar number
@@sahilkrsaha6124 still you figuring out lmao
nhi milegi book 😂
@@strictly_masculine 😂😂😂
thank you so much sir for the wonderful explanation...
i m really really thankful to u....sir..because i don't go to any coaching centre but i
still believe myself that i will score very well and ur support is enough ...sir..
and JOHN NAPIER invented e
1+cos (36x) = 2cos²(18x)
Leonhard Euler who discovered the number e and calculated its value to 23 decimal places...am I right or what???... sir jii plz reply 🙏 🥰
4(2×2×2)=4(8)=32
3(5×5)=3(25)=75
Video at 2:40
First maths lecture that I have understand
I thought maths would be very hard but sir you make it very easy for me keep Teaching us Dear sir
Sir i fully and clearly understood. Your teaching way is very fun and understanding. I wanna say huge thank you to you for making us understand so clearly. I really appreciate your videos and you teach very well sir. I hope your videos are recognized by many people.
a+b+c=0,then prove that (a/a^2+bc)+(b/b^2+ca)+(c/c^2+ab)=1
Sir pls solve this 🙏
Leonhard Euler invented number (e )and value is 2.718
🙏🙏🙏16:09.....fav eminem🔥🔥🔥😻😻😻
Emiway bantai
Great....perfect lecturer🔥🔥
Answer: log4
1+cos36x = 2cos^2(18x)
10:36
Leonhard Euler... its value is 23 decimal places
Leonhard euler invented the number 'e' and it's value is ( not the Root of any algebraic equations with integer and coefficients) and it's approximate value is 2.718 sir
"e" is invented by Euler and it is called Euler's number
Pleasure to watch this video sir! Explained well.....
Very creative way of teaching topics 👍
14:11 sir why there is not the derivative of 4x
Sir is it usefully for pharmacy 1st sem or it's the topic behind it
10:30 EULER
So funny at 16:08, power single raise to one🤣😂🤣
Number E ka Invention ( LEONHARD EULER)
Euler's number, is a mathematical constant approximately equal to 2.71828 ((answer by thak anurag))
15:13 2cos^2 (18x)
4 th answer: log 4
2log2
0.6
@@anketkale663 same yar 😂😂😂😂🤣 log2^2=2log2
I cannot compare you with any other teacher..YOU ARE THE BEST SIR!!!
Sir circle and conics pe bhi video bana do plzz
Yes sir please bana dijeye
Sir Jitna Kuch Bhi Samze Usme Bohot Maja aaya ♥️🙂
e was invented by Jacob Bernoulli and the value of e is approximately 2.718.The exponential constant is an important mathematical constant and is given the symbol e. Its value is approximately 2.718.
18:00 coca cola raised to the power 0 is... 1
😅😇
That 879th like is mine...
:)
Now it 3.6k 😎
F(-x)=2f(x) . True or false or satisfy in some conditions.
Value of e=2.718 and invented by JOHN NAPPIER
Discovered *
@@aneekeshkumar8199 *invented
Before he invented it there was no such term
18 cos
Sir your vedio is too good extra ordinary mind-blowing fantastic sir
Sir,thanks for your efforts,number 'e' was invented by Leonard Euler.
Google baba jindabad
This is the video I've been looking for.🔥🔥
Thank you sir.
U r so funny n talented lecture 😙😙
Heads Off sir thks
Hu
Arey..yaar...this is full energetic 🫥
4:18 Best part😂
First time I enjoyed maths... Thank you so much sir..!!
Good motivation at the beginning of video sir
Very very very nice
e inverted jacob bernoulli and value is 2.71821...
Thanks sir
You would became limitless🤣 wow🌹
Par board mai L. Hopital rule nahi hai
For entrance exam
It was awsome thank you sir❤
R
Gr8 man.. Love and respect.. And thanx
Log4, 75, 2cos2.(16x), 3pi/4, 5pi/3
The invented of e - Mr. John Napier...
Aanda curry
For lim x>0(1+x)^1/x=e proof: applying log to this equation ,,and by solving we get previous equation lim x>0 log(1+x)/x =1 ... Hope you like hit 👍😂😂🤣
Lectures is very awesome I like all lectures and thank u so much sir, video is very helpful my all concept is clear 😊
Sir you are teaching best
The value of e is 2.718.... it is the base of log values and this is invented by 'john napier '