Let f(x) ={{:((x-1)^(2) sin (1)/((x-1))-...

`Let f(x) ={{:((x-1)^(2) sin (1)/((x-1))-|x|, if x ne 1 ),(-1,if x=1):} ` be a real - valued function , then find the number of points where f(x) is not differentiable .

A

{1}

B

{0,1}

C

{0}

D

None of these

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The correct Answer is:

C

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