Which of the following is not true always ?

Options

A. IF f(x) is not continuous at x=a, then it is not differentiable at x=a
B. IF f(x) is continuous at x=a, then it is differentiable at x=a
C. If f(x) and g(x) are differentiable at x=a, then f(x) +g(x) is also differentiable at x=a.
D. If f(x) is continuous at x=a, then `lim_(xtoa)f(x)` exists.

Answer

B