The nth derivative of the function f(x)...

The `nth` derivative of the function `f(x)=1/(1-x^2)` [where `x in(-1,1)` at the point `x=0` where `n` is even is (a) `0` (b) `n!` (c) `n^nC_2` (d) `2^nC_2`

A

0

B

`n!`

C

`b^(n)C_(2)`

D

`2^(n)C_(2)`

Text Solution

Verified by Experts

`f(x)=1+x^(2)+x^(4)+x^(6)+...oo,"where "|x|le1`
`therefore" "f''(0)=n!` where n is even

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