The th derivative of the function

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The nnth derivative of the function f(x)=11−x2f(x)=\frac{1}{1-x^2}, where x∈(−1,1)x\in(-1,1), at x=0x=0, where nn is even, is (a) 00 (b) n!n! (c) nnC2n^nC_2 (d) 2nC22^nC_2

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