Continuity and DifferentiabilityHard

Question

State which of the following is a false statement-

Options

A.If f(x) is continuous at x = a then f(a) =f(x)
B.If 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, thenf(x) exists,

Solution

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