L-9 Negative & Fractional Indices |Class XI JEE Binomial Theorem|JEE Math Rankers|Prashant Jain

Binomial Theorem for Negative & Fractional Indices by Prashant Jain. It is a very important video in which Prashant Jain gives you complete guidance on the topic Binomial Theorem for Negative & Fractional Indices. Learn about the tips & tricks for clearing IIT JEE with great marks and clear all your doubts in this session by Prashant Jain.

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[tarunkumar]

Best maths teacher. You are missing if not here

[sparshsinha]

45:55 sir mai live lecture nhi le pata but regularly recording dekhta hu u are op sir aaj ka lecture mughe bhi shandaar laga

[noobpromax]

GBQ answer -246

By the way great lecture sir 🔥🔥

[kunalparoda]

Sir solution of First GBQ,
ln(1+x) = a0 + a1x + a2x² + a3x³ + a4x⁴ + a5x⁵ + ....
Put x=0, we get a0 = 0 .
Differentiate (1), We get
=> 1/(1+x) = a1 + 2*a2x + 3*a3x² + 4*a4x³ + 5*a5x⁴
Put x = 0, we get a1 = 1 .
Differentiate (2), we get
=> -1/(1+x)² = 2*a2 + 6*a3x + 12*a4x² + 20*a5x³ +....
Put x = 0, we get a2 = -1/2 .
Similarly on differentiating further and putting x = 0 we will get values of a3, a4, a5
Therefore we get to know that,
ln(1+x) = 0 + 1*x -1*x²/2 + 1 *x³/3 -
So ln(2) = ln(1+1), Now putting x = 1 in (4) we get,
ln(2) = 1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + 1/7 +
Hence proved .

[abhishekbiju]

hey thats my method
i need ownership and credits

[shivamvishwekar]

Ans to GBQ : -40
Solution:
(1+x+x²+...+x⁷)⁴
={1×(1-x⁸)/(1-x)}⁴
=(1-x⁸)⁴(1-x)^(-4)

Whence, coefficient of x¹⁰: (-4x⁸)(10x²)= -40

[vedikasinghvi]

Sir amazing lecture I loved the logic of differentiablr functiins this made me think that binomial has role in practical life whereas I thought it's just theory

[nayanagrawal]

me when revising COMBO realized sir gave the proof for beggars method. OP and too realizing sir plus pe padha chuke the phir bhi sab kuch naya lag rha tha :(

[yasharthyash]

246 is the answer sir, now I have completed the backlog as my school examination was going on . Has completed 2 days before only. I took 2 days to complete backlog sessions & homework..
Thanks u sir.

[highfunctioningsociopath]

Sir McLaren series desmos mai dikha ke 11 ke bache logo ko
" " banare hai

[kkworld]

unacademy pe screenshare ka feature bhi hai na ya nahi hai?