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

If `f(x) = {((|x-1|)/(x-1), x ne 1), (0, x = 1):}` then the correct statement is

A

f(x) is continuous and differentiable at x = 1

B

f(x) is discontinuous at x = 1

C

f(x) is discontinuous at `x lt 1`

D

f(x) is discontinuous at `x gt 1`

Text Solution

Verified by Experts

The correct Answer is:
B
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