Answer :

For continuity left hand limit must be equal to right hand limit and value at the point.


Continuity at x =2.


For continuity at x=2,


L.H.L =


R.H.L =


f(2) = 1+2 = 3


f(x) is continuous at x = 2


Now for differentiability.









=-1


As, f’(2-) is not equal to f(2+)


f(x) is not differentiable.

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