Continuity and DifferentiabilityHard

Question

Let f(x) = then -

Options

A.f(0-) ≠  f(0+)
B.f(0+) ≠  f(0)
C.f(0-) = f(0)
D.f is continuous at x = 0

Solution

f(0+) = a (sin2 (0 + h))n = 0
f(0) = 0
f(0-) = b (cos2 (0 - h))m - 1 = - 1

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