Dhivya posted an Question
October 16, 2020 • 12:46 pm 30 points
  • IIT JAM
  • Mathematics (MA)

X 27. find the radius of convergence of the power series 1-x-= f, + f,x + f.x + f are the fibonacci numbers, a =t and b = 1-v5 a-b 5 and b= 1-v5 a-b 2 2 (b) 1/a

X 27. Find the radius of convergence of the power series 1-X-= F, + F,x + F.x + F are the Fibonacci numbers, a =t and B = 1-V5 a-B 5 and B= 1-V5 a-B 2 2 (B) 1/a (A) (D) None (C) 2a

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  • Srinath Best Answer

    The answer is 1/a. Just take the limit as n tends to infinity, for F(n+1)/F(n). Hint : b/a < 1. What happens to (b/a)^n as n tends to infinity??

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    Can we take modulus while doing root test?

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    Sure. That's the basic idea, it can be done.

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