Binomial TheoremHard

Question

If |x| < 1, then the co-efficient of xⁿ in the expansion of (1 + x + x² + x³ +....)² is

Options

A.n

B.n - 1

C.n + 2

D.n + 1

Solution

Co-efficient of xⁿ in (1 - x)^{- 2 = 2 + n -1} C₁ = n + 1

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