The n t h derivative of the function f(x...

The `n t h` derivative of the function `f(x)=1/(1-x^2)[w h e r ex in (-1,1)]` at the point `x=0` where `n` is even is (a) 0 (b) `n !` (c) `n^n C_2` (d) `2^n C_2`

`n!`

`b^(n)C_(2)`

`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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