Continuity and DifferentiabilityHard

Question

f(x) = ; g(x) =
h(x) = f(x) for x < π/2
       = g(x) for x > π/2
then which of the followings does not holds ?

Options

A.h is continuous at x = π/2
B.h has an irremovable discontinuity at x = π/2
C.h has a removable discontinuity at x = π/2
D.

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