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Which one of the following is not true a...

Which one of the following is not true always?

A

if f (x) is not continuous at x = a, then it is

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 function f (x) is continuous at x = a, then `lim_(x to a)f(x)` exists

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The correct Answer is:
B
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