Mark (√) against the correct answer in the following:
The function is
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.