Mathematics

Mathematics

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 the point x=0x=0 where nn is even is (a) 0 (b) n!n! (c) nnC2n^n C_2 (d) 2nC22^n C_2

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