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

A

`underset(x rarr 0)(lim) f(x)` exists for every `n gt 1`

B

f is continuous at x = 0 for `n gt 1`

C

f is differentiable at x= 0 for every `n gt 1`

D

None of the above

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A, B, C
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ARIHANT MATHS ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Exercise (More Than One Correct Option Type Questions)
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  15. Show that the function f(x)={x^msin(1/x),\ \ \ x!=0 , 0\ \ x=0 is con...

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