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Given f (0) =0 and f (x) =(1)/( (1 - e ^...

Given` f (0) =0 and f (x) =(1)/( (1 - e ^( -1//x))) ` for `x ne 0` Then only one of the following statements on f (x ) is true. That is f (x), is :

A

continuous at x =0

B

not continuous at x =0

C

both continuous and differentiable at x =0

D

not defined at x =0

Text Solution

Verified by Experts

The correct Answer is:
B
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