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If f(x)={((x-2)2^(-(1/(|x-2|)+1/(x-2))),...

If `f(x)={((x-2)2^(-(1/(|x-2|)+1/(x-2))),x!=2),(0,x=2):}` then `f(x)` at `x=2` is

A

Differentiable

B

Non-differentiable

C

R.H.L at x=2 is 1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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