Consider the function 
, then
A
is continuous and differentiable at 
.
B
is not continuous but differentiable at 
.
C
is neither continuous nor differentiable at 
.
D
is continuous but not differentiable at 
.
Text Solution
Verified by ExpertsThe correct answer is:
D
Given, 
Test for continuity
As 
oscillates between -1 and 1 .
So, 
a number between -1 and 1
Also, 
[given]
is continuous at 
Test of differentiability
Limit does not exist.
Left hand derivation is not defined.
is not differentiable at 
.
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