NEST (National Entrance Screening Test) Mathematics: Questions 1 of 50
» Limits & Continuity » Graphs of Simple Functions
MCQ▾
Question
If
Choices
Choice (4)  Response  

a. 
is differentiable at 

b. 
is continuous at 

c. 
is differentiable at 

d. 
Question does not provide sufficient data or is vague 
Answer
b.
Explanation

Since exponential and modulus function are always continuous
is continuous in

We check the continuity at
And
Also
is continuous at

So choice (B) is correct
And
is not differentiable at 0

So choice (1) is incorrect
For
It makes angle at
is not differentiable at
So choice (C) is not correct