Answer :

Left hand limit at x = 5

Right hand limit at x = 5

Also f(5) = |5 – 5 |= 0


= f(5)

Therefore, f(x) is continuous at x = 5

Now, lets see the differentiability of f(x)

LHD at x = 5

RHD at x = 5

Since, LHD ≠ RHD


f(x) is not differentiable at x = 5

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