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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 continuous at x = a, then it is differentiable at x = a

B

If f(x) is not continuous at x =a then it is not differentiable at x =a

C

If a function f(x) is continuous at x =a then `lim_(x rarr a) f(x)` exist

D

If f(x) and g(x) are differentiable at x = a then f(x)+g(x) is also differentiable at x =a

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The correct Answer is:
A
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