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Let f(x)={(x^(p)"sin"1/x,x!=0),(0,x=0):}...

Let `f(x)={(x^(p)"sin"1/x,x!=0),(0,x=0):}` then `f(x)` is continuous but not differentiable at `x=0` if

A

`a in (-1,0)`

B

`a in (0,2]`

C

`a in (0,1]`

D

`a in [1,2}`

Text Solution

Verified by Experts

The correct Answer is:
C
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