Limits | Solve Any Que. in 5 Seconds | Limits and continuity CBSE NCERT Maths in Hindi | Lecture 1

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  • Опубліковано 1 гру 2024

КОМЕНТАРІ • 2,1 тис.

  • @MandhanAcademy
    @MandhanAcademy  5 років тому +150

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    • @nirajraut9408
      @nirajraut9408 5 років тому +3

      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"

    • @nirajraut9408
      @nirajraut9408 5 років тому +2

      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.

    • @nirajraut9408
      @nirajraut9408 5 років тому +3

      You have said many more things wrong in this video.

    • @PrincePriyadarshi527
      @PrincePriyadarshi527 5 років тому +2

      E~maximum , continuous,100% one time compounding growth period ,171.8% growth. ( E~ 2.718✔️✔️✔️✔️✔️✔️🙏🙏

    • @educationt0all
      @educationt0all 5 років тому

      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.

  • @Ersurajkumar879
    @Ersurajkumar879 4 роки тому +171

    1 = log⁴
    2 = 2cos²(18x)
    3 = 135°- 3π\4
    4 = 300°- 5π\3
    And thank you much for video sir 🙏🙏🙏🙏🙏🙏

  • @rameshwargurav4588
    @rameshwargurav4588 4 роки тому +143

    As a maths lecturer ,am just saying you, "Good Going sir ji".
    Best wishes to you.

  • @harshithharshith7105
    @harshithharshith7105 4 роки тому +27

    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)

  • @toonfun197
    @toonfun197 Рік тому +251

    Who is watching this in 2024

  • @h7nbhayya184
    @h7nbhayya184 4 роки тому +50

    the value of "e" is approximately 2.718
    and The number e was first studied by the Swiss mathematician Leonhard Euler in the 1720s

    • @manaskriti8274
      @manaskriti8274 3 роки тому +9

      Google mara n 🤣🤣🤣🤣

    • @sha_ra_d
      @sha_ra_d 3 роки тому +3

      @@manaskriti8274 hor kya yaar

    • @heenaiqbal4175
      @heenaiqbal4175 3 роки тому +3

      Google se na🤪🤪 don't worry

  • @maycrinbirthsangma9216
    @maycrinbirthsangma9216 4 роки тому +105

    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 👏

  • @sajjadqasmi6643
    @sajjadqasmi6643 5 років тому +35

    First answer is log 4
    Second answer is 4(2)3=32
    Third answer is 3(5)2=75

  • @tmkoc_idea
    @tmkoc_idea 2 роки тому +18

    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 🙏

    • @ahuman7004
      @ahuman7004 2 роки тому

      3rd ka ans 2cos^2(18x) hai

    • @tmkoc_idea
      @tmkoc_idea 2 роки тому +4

      @@ahuman7004 yes exactly 👍

  • @riteshchavhan9673
    @riteshchavhan9673 3 роки тому +15

    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

  • @handler12
    @handler12 3 роки тому +45

    After seeing this video i became limitless 😁😀

  • @pratoshmishra1430
    @pratoshmishra1430 4 роки тому +4

    Me Pratosh Lecturer of Mathematics from Nepal.Your teaching style is very good and effective.Thanks a lot

  • @shireenjahan678
    @shireenjahan678 5 років тому +62

    4:- log4

  • @nimmibedi2547
    @nimmibedi2547 4 роки тому +24

    John napier invented (e) and it's called John napier constant and the value of e I'd lying b/w 2 and 3

  • @aniketsalve1318
    @aniketsalve1318 3 роки тому +2

    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)

  • @shiburawat4777
    @shiburawat4777 3 роки тому +6

    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

  • @SurajKumar-ec3jy
    @SurajKumar-ec3jy 5 років тому +11

    The value of e is approax to 2.71828 and invented by John Napier

  • @sankepallebhavani3915
    @sankepallebhavani3915 4 роки тому +16

    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

  • @shivamkumarpandey881
    @shivamkumarpandey881 5 років тому +26

    Thank you sir... I am from west bengal board but I get a lot help from your videos

  • @rayanmughal7480
    @rayanmughal7480 11 місяців тому +6

    You are awesome sir No one explains it the way you do ✨✨✨

  • @BASAVARAJHARER
    @BASAVARAJHARER 3 роки тому +7

    Moral of the story is u are limitless sir😊
    Thank you so much sir 🙏🙏

  • @nainsigupta3436
    @nainsigupta3436 5 років тому +11

    The value of e." e" is a numerical constant that's equal to 2.71828(approx)

  • @aymanchaudhary5179
    @aymanchaudhary5179 5 років тому +15

    John Napier invented'e'{(e- it is the base of the natural) logarithms)}

  • @SatyamYadav-bt9ns
    @SatyamYadav-bt9ns 5 років тому +10

    e number is invention by John Napier. And it's value 2.7182....

  • @oracle5326
    @oracle5326 3 роки тому +9

    this man JUST TAUGHT ME SOMETHING THAT MY TUITION CLASSES TOOK MONTHS TO COMPLETE, IN JUST 22 MINS. AWESOME!!!

  • @dudiasif2006
    @dudiasif2006 2 роки тому +44

    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 .

  • @prince-jt5pq
    @prince-jt5pq 5 років тому +17

    1+cos (36x) = 2cos²(18x)

  • @disha2314
    @disha2314 4 роки тому +8

    Answer: log4
    1+cos36x = 2cos^2(18x)

  • @raghumanda1499
    @raghumanda1499 5 років тому +6

    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

  • @younispace9
    @younispace9 Рік тому +6

    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 🌈💯🧿

    • @srv6148
      @srv6148 Рік тому

      Result kaisa rha bro🦊

  • @gajanandprasad9762
    @gajanandprasad9762 2 роки тому +1

    Sir Jitna Kuch Bhi Samze Usme Bohot Maja aaya ♥️🙂

  • @bachuyadav1174
    @bachuyadav1174 5 років тому +33

    Number "e" is invented by Leonhard Euler.
    Thank you very much sir for this video .

  • @jitendrajoshi9359
    @jitendrajoshi9359 5 років тому +5

    Mai engineering passed student hu..! Gate ka prepration ! Kr rha basic. Concept aapas clear kar rhaa hu repeat !! Nicc lecture!!

  • @sanjaysamal8262
    @sanjaysamal8262 4 роки тому +7

    log 4(answer).Thanks sir for this amazing session .I am Subhra from Odisha .🙋‍♀️💐💐

  • @prabhas__dieheartfans580
    @prabhas__dieheartfans580 3 роки тому +6

    "e" is invented by Euler and it is called Euler's number

  • @nikhilpal4433
    @nikhilpal4433 3 роки тому +1

    Jaisa chah tha vaisa padhaya very very thanks ❤️❤️❤️❤️

  • @vipinsaxena4217
    @vipinsaxena4217 5 років тому +11

    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

  • @LavinaArtistryZone
    @LavinaArtistryZone 3 роки тому +4

    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).

  • @nikeshkumarsingh7347
    @nikeshkumarsingh7347 5 років тому +5

    lim x tends to 0 then 4^x-1/x=log 4 hoga hai na sir .....

  • @ajinkyakutarmarevjtian.5203
    @ajinkyakutarmarevjtian.5203 4 роки тому +2

    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.

  • @Muslim_Moments07
    @Muslim_Moments07 11 місяців тому +1

    Wow sir bohat easy way main explain Kiya ha. Very Weldon ❤❤❤❤

  • @ramaraob6159
    @ramaraob6159 4 роки тому +27

    4 th answer: log 4

  • @techiprobin133
    @techiprobin133 5 років тому +10

    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...😁👍

  • @thejourneyofsuccess8467
    @thejourneyofsuccess8467 5 років тому +39

    Awsm Sr ❤️❤️
    Mera Motivational Channel Hai ❤️❤️
    Thanks ❤️❤️

  • @praveenharinkhede1224
    @praveenharinkhede1224 11 місяців тому +1

    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

  • @andhadhunvlogs7804
    @andhadhunvlogs7804 3 роки тому +1

    I am not a science student but I love your mathemathics teaching style sir

  • @SrivastavaTechs
    @SrivastavaTechs 5 років тому +4

    Number E ka Invention ( LEONHARD EULER)

  • @aayushgarg2868
    @aayushgarg2868 4 роки тому +5

    I cannot compare you with any other teacher..YOU ARE THE BEST SIR!!!

  • @umernawaz6545
    @umernawaz6545 5 років тому +6

    F(-x)=2f(x) . True or false or satisfy in some conditions.

  • @274Study
    @274Study Рік тому +2

    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 😑 .....

  • @pardesigamingff3786
    @pardesigamingff3786 2 роки тому +1

    Euler's number, is a mathematical constant approximately equal to 2.71828 ((answer by thak anurag))

  • @PrinceKumar-hh6yn
    @PrinceKumar-hh6yn 5 років тому +9

    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
      @KaifKhan-mk4ik 5 років тому

      Bsdk apni jeevan katha likh detev

    • @PrinceKumar-hh6yn
      @PrinceKumar-hh6yn 5 років тому

      @@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...

    • @KaifKhan-mk4ik
      @KaifKhan-mk4ik 5 років тому

      @@PrinceKumar-hh6yn are bhaisadi ke itna lamba likha mera time west q kra

    • @KaifKhan-mk4ik
      @KaifKhan-mk4ik 5 років тому

      @@PrinceKumar-hh6yn aur tu mujhe bhul gya yhi thi apni dosti

    • @zylithxx_
      @zylithxx_ 2 роки тому

      what did I just read- nvm

  • @varunshankar
    @varunshankar 4 роки тому +25

    Sir,thanks for your efforts,number 'e' was invented by Leonard Euler.

  • @ahsankhax3854
    @ahsankhax3854 2 роки тому +3

    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

  • @ramaraob6159
    @ramaraob6159 4 роки тому +1

    Answer:2 cos^(18)

  • @insanegamer2597
    @insanegamer2597 2 роки тому +1

    7: 06 Ans: log4

  • @vickyahlawat5880
    @vickyahlawat5880 3 роки тому +3

    Video at 2:40

  • @sybersurz3203
    @sybersurz3203 4 роки тому +9

    🙏🙏🙏16:09.....fav eminem🔥🔥🔥😻😻😻

  • @_KBM
    @_KBM 3 роки тому +13

    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.

  • @anutampaul9964
    @anutampaul9964 3 роки тому +2

    Apke class me parneme bahot maja aya
    Sir you are best ❤️❤️

  • @mahimamanikpuri2024
    @mahimamanikpuri2024 2 роки тому

    Itne maje se maine kabhi limits ni pdhe sir..thank you so much

  • @anniebose02
    @anniebose02 4 роки тому +3

    Very creative way of teaching topics 👍

  • @aisciborg
    @aisciborg 4 роки тому +5

    10:30 EULER

  • @Aditya-dt4dg
    @Aditya-dt4dg 4 роки тому +18

    Value of e=2.718 and invented by JOHN NAPPIER

  • @Joyfulvibestubes
    @Joyfulvibestubes 2 роки тому +1

    Sir your vedio is too good extra ordinary mind-blowing fantastic sir

  • @Beena_Gupta0305
    @Beena_Gupta0305 3 роки тому +1

    I like the way you are cheering up students.

  • @sumitparmar805
    @sumitparmar805 4 роки тому +30

    4:18 Best part😂

  • @abdulaziz8515
    @abdulaziz8515 4 роки тому +4

    So funny at 16:08, power single raise to one🤣😂🤣

  • @robertjohnson6403
    @robertjohnson6403 3 роки тому +5

    You would became limitless🤣 wow🌹

  • @zyx134
    @zyx134 2 роки тому +1

    a+b+c=0,then prove that (a/a^2+bc)+(b/b^2+ca)+(c/c^2+ab)=1
    Sir pls solve this 🙏

  • @Alinasofu
    @Alinasofu 2 роки тому +1

    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.

  • @omnamovenkatesaya6236
    @omnamovenkatesaya6236 5 років тому +6

    Good motivation at the beginning of video sir
    Very very very nice

  • @mohitjoshi923
    @mohitjoshi923 5 років тому +4

    First time I enjoyed maths... Thank you so much sir..!!

  • @sujitdey1717
    @sujitdey1717 5 років тому +13

    18:00 coca cola raised to the power 0 is... 1
    😅😇
    That 879th like is mine...

  • @sunnysinghrajputgaya5624
    @sunnysinghrajputgaya5624 3 роки тому +1

    e was first studied by leonhard euler
    Value of e is 2.178.....

  • @jstukku2476
    @jstukku2476 2 місяці тому

    Log4, 75, 2cos2.(16x), 3pi/4, 5pi/3

  • @aayushumtekar1021
    @aayushumtekar1021 4 роки тому +12

    This is the video I've been looking for.🔥🔥
    Thank you sir.

  • @DeepBSKCreative
    @DeepBSKCreative 5 років тому +31

    Great....perfect lecturer🔥🔥

  • @reivvoratinytv
    @reivvoratinytv 4 роки тому +3

    U r so funny n talented lecture 😙😙

  • @lifeissnowpiece4505
    @lifeissnowpiece4505 3 роки тому +1

    4(2×2×2)=4(8)=32
    3(5×5)=3(25)=75

  • @TwinkleSanam
    @TwinkleSanam Рік тому

    OMG 😱 4 years ago video
    Thank you so much sir😊

  • @Batman-7781
    @Batman-7781 5 років тому +5

    Pleasure to watch this video sir! Explained well.....

  • @nainsigupta3436
    @nainsigupta3436 5 років тому +10

    The invented of e - Mr. John Napier...

  • @nikeshkumarsingh7347
    @nikeshkumarsingh7347 5 років тому +5

    e is invented by john nappier and its value is 2.718....
    sir e ke baare me sir ne bhi kuch baate ki thi class me ......ton pata hai itna

  • @ShubhamPandey-zn2lu
    @ShubhamPandey-zn2lu 3 роки тому

    Thanks sir apne bahut madad kardi
    Hats off to you sir
    Respect+

  • @Muslim_Moments07
    @Muslim_Moments07 11 місяців тому +1

    Log4 very simple 😊

  • @msudheendra7192
    @msudheendra7192 5 років тому +4

    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 👍😂😂🤣

  • @nitinkalbhor7528
    @nitinkalbhor7528 5 років тому +5

    Sir circle and conics pe bhi video bana do plzz

    • @thesky7281
      @thesky7281 5 років тому

      Yes sir please bana dijeye

  • @dhanashrigajare6302
    @dhanashrigajare6302 5 років тому +4

    Lectures is very awesome I like all lectures and thank u so much sir, video is very helpful my all concept is clear 😊

  • @tlpstatus8462
    @tlpstatus8462 4 роки тому +2

    sir i m from pakistan but after wacthing your i m gona your fan .mind belowing sir

  • @rtsbbeatbox
    @rtsbbeatbox 5 років тому +6

    "Leonhard Euler " I am right .. sir

  • @ramaraob6159
    @ramaraob6159 4 роки тому +4

    Coco cola answer:1

    • @HiFigamerzOfficial
      @HiFigamerzOfficial Місяць тому +1

      Wrong
      Correct answer is
      (Coca cola)⁰ = N.D
      😊b'coz how can we say if we don't know the value of coca cola
      It may be infinite, 0 ,1or (∅)( means nothing )😕
      But if we take coca cola= x
      And
      (coca cola) ⁰
      = x⁰
      So there exists two answers maybe zero (if coca cola ≠ 0,1,∅, infinite) or N.D(if coca cola = 0,1,∅, infinite)
      Hope you got it 😺
      I think no one about the secret recipe of coca cola🤔

  • @AkshayJiyo
    @AkshayJiyo 5 років тому +4

    Waah sir! You are too funny

  • @hillglianimandal4586
    @hillglianimandal4586 3 роки тому

    log4,1+cos36x=2cos^2(18),4(2)^3=32,3(5)^2=75
    Thank you sir

  • @shaikabdurrahim1829
    @shaikabdurrahim1829 11 місяців тому

    Sir ,your explanation way is soo understable Tq Sir ❤

  • @samrudhabhalerao1624
    @samrudhabhalerao1624 5 років тому +14

    It was awsome thank you sir❤

  • @nikitayadav1938
    @nikitayadav1938 3 роки тому +4

    Tomorrow is my exam of maths 🥺🥺😭😭🥺🥺😊

  • @AyushSingh-og3cn
    @AyushSingh-og3cn 9 місяців тому +3

    Par board mai L. Hopital rule nahi hai

    • @Aryan-z9f
      @Aryan-z9f 3 місяці тому

      For entrance exam

  • @1.dot775
    @1.dot775 2 роки тому

    Very very good explanation.... watching from Pakistan....you are best sir♥️

  • @AnilKumar-cs9pd
    @AnilKumar-cs9pd Рік тому

    Arey..yaar...this is full energetic 🫥