Let f is twice differerntiable on R such...

Let f is twice differerntiable on R such that `f (0)=1, f''(0) =0 and f'(0) =-1,` then for `a in R, lim _(xtooo) (f((a)/(sqrtx)))^(x)=`

A

`e ^(-e ^(2))`

B

`e ^((a^(2))/(4))`

C

`e ^((a^(2))/(2))`

D

`e ^(-2a ^(2))`

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The correct Answer is:

C

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