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If f(x) = {(1/(1+e^(1/x)), x ne 0),(0, ...

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

A

continuous as well differentiable at x =0

B

continuous but not differentiable at x =0

C

differentiable but not continuous at x =0

D

discontinuous at x=0

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The correct Answer is:
D
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