Let G(x) = 1/(1 - x)^2 = Σ_{i=0}^∞ g(i)x^i, where |x| < 1. What is g(i)?

GATE · 2005 · CS

Let G(x) = 1/(1 - x)^2 = Σ_{i=0}^∞ g(i)x^i, where |x| < 1. What is g(i)?

  1. A.

    i

  2. B.

    i+1

  3. C.

    2i

  4. D.

    2^i

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