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Shamsun posted an Question
December 09, 2020 • 03:37 am 30 points
  • IIT JAM
  • Mathematics (MA)

18. /find the radius of convergence of 2 (2n)! 1 (1- 19 find the sum of the coefficients of x20 and x21 in the power series expansion of 2 (ava

18. /Find the radius of convergence of 2 (2n)! 1 (1- 19 Find the sum of the coefficients of x20 and x21 in the power series expansion of 2 (Ava

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    Piyush pachauri

    Ans is 120 as x^20 coefficient is zero so now we just have to calculate coefficient of x^21 = (x^3)^7, so numerator has 7 terms starting from 4 and in denominator we have 7! So (4*5*6*7*8*9*10/7*6*5*4*3*2*1) =120

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