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If f(x) = {(xe^(-(1/|x|+1/x)), x ne 0),(...

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

A

continuous for all x but not differentiable at x =0

B

neither differentiable nor continuous at x =0

C

discontinuous everywhere

D

continuous as well as diffferentiable for all x

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The correct Answer is:
A
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