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The function f(x)=x*e^{-(1/|x|+1/x)} if ...

The function `f(x)=x*e^{-(1/|x|+1/x)}` if `x!=0` and `f(x)=0` if `x=0` then

A

Continuous as well as differentiable for all x

B

Continuous for all x but not differentiable at x = 0

C

Neither differentiable nor continuous at x = 0

D

Discontinuous everywhere

Text Solution

Verified by Experts

The correct Answer is:
B
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