Continuity and DifferentiabilityHard

Question

f(x) is continuous at x = 0, then which of the following are always true ?

Options

A.f(x) = 0
B.f(x) is non continuous at x = 1
C.g(x) = x2 f(x) is continuous at x = 0
D.(f(x) - f(0)) = 0

Solution

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