Continuity and DifferentiabilityHard

Question

If f(x) = , then correct statement is -

Options

A.f(x) is discontinuous at x = 0 for any value of a
B.f(x) is continuous at x = 0 when a = 8
C.f(x) is continuous at x = 0 when a = 0
D.none of these

Solution

= 8
= 8      ∴ f(0) = 8
so f(x) is continuous at x = 0 when a = 8

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