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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 0,2`

C

`n in 1, infty`

D

`n in -infty, infty`

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