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

Show that the function `f(x)={x^m sin(1/x) , 0 ,x != 0,x=0` is differentiable at `x=0`,if `m > 1` and continuous but not differentiable at `x=0`,if `0

A

Differentiable at x=0 if `m gt1`

B

Continuous but not differentiable at `x=0` if `0 lt m le 1`

C

Neither continuous nor differentiable if `m le 0`

D

None of these

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The correct Answer is:
A, B, C
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