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Which of the following is not true alway...

Which of the following is not true always ?

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.

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The correct Answer is:
B
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