Let f(x) =x^(p) cos (1/x), when x ne 0 a...

Let `f(x) =x^(p) cos (1/x)`, when `x ne 0` and `f(x)=0`, when `x=0`.
Then `f(x)` will be differentiable at `x=0`, if

A

`p gt 0`

B

`p gt 1`

C

`0 lt p lt 1`

D

`1/2 lt p lt 1`

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The correct Answer is:

B

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