Which one 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 a functions f(x) is continuous at x=a, then `underset(xrarra)lim f(x)` exists

Answer

B