| Directions: (16 - 20) |
| If a real valued function \[f\left( x \right)\]is finitely derivable at any point of its domain, it is necessarily continuous at that point. But its converse need not be true. |
| For example, every polynomial, constant function are both continuous as well as differentiable and inverse trigonometric functions are continuous and differentiable in its domains etc. |
| Based on the above information, answer the following questions. |
then at x = 0
A) \[f\left( x \right)\] is differentiable and continuous
B) \[f\left( x \right)\] is neither continuous nor differentiable
C) \[f\left( x \right)\] is continuous but not differentiable
D) none of these
Correct Answer: C
Solution :
\[f\left( x \right)\] is continuous but not differentiable
You need to login to perform this action.
You will be redirected in
3 sec
