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Let f(x)={{:(,x^(n)"sin "(1)/(x),x ne 0)...

Let `f(x)={{:(,x^(n)"sin "(1)/(x),x ne 0),(,0,x=0):}` Then f(x) is continuous but not differentiable at x=0. If

A

`n in (0,1]`

B

`n in [1,oo)`

C

`n in (1,oo)`

D

`n in (-oo,0)`

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