Q. 57
Mark (√) against A. continuous as well as differentiable at x = 2
B. continuous but not differentiable at x = 2
C. differentiable but not continuous at x = 2
D. none of these
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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