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Show that f(x)={{:("x sin"(1)/(x)",","wh...

Show that `f(x)={{:("x sin"(1)/(x)",","when",x ne 0),(0",","when",x = 0):}` is continuous but not differentiable at x = 0

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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The correct Answer is:
A, B, C
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