Answer :

f(x)=|x-3|

Since every modulus function is continuous for all real x, f(x) is continuous at x=3.


f(x) =


To prove differentiable , we will use the following formula.


= = f(a)


L.H.L


=


=


= 1


R.H.L:


=


=


= -1


Since, L.H.L R.H.L, f(x) is not differentiable at x=5.


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