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Which of the following is false ?...

Which of the following is false ?

A

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

B

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

C

If f(x) is differentiable at x = a, then it is continuous at x = a

D

If f(x) is continuous at x=a, then `lim_(x rarr a) f(x)` exists

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The correct Answer is:
B
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