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Show that the function f(x)={x^msin(1/x)...

Show that the function `f(x)={x^msin(1/x), x=0 ,0 ,\ \ \ x!=0 ,\ \ \ \ \ \ \x=0` is differentiable at `x=0` , if `m >1`

A

`p lt0`

B

`0 lt p lt 1`

C

`p=1`

D

`pgt 1`

Text Solution

Verified by Experts

The correct Answer is:
D
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