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If f(x)={:{(xe^(-(1/(|x|) + 1/x)), x ne ...

If `f(x)={:{(xe^(-(1/(|x|) + 1/x)), x ne 0),(0 , x =0 ):}` then f(x) is

A

discontinous everywhere

B

continous as well as differentiable for all x

C

continous for all x but not differentiable at x=0

D

neither differentiable nor continous at x=0

Text Solution

Verified by Experts

The correct Answer is:
C
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