Continuity and DifferentiabilityHard

Question

f(x) = (sin-1x)2 . cos(1/x) if x ≠ 0; f(0) = 0, f(x) is :-

Options

A.continuous no where in -1 ≤ x ≤ 1
B.continuous everywhere in -1 ≤ x ≤ 1
C.differentiable no where in -1 ≤ x ≤ 1
D.differentiable everywhere in -1 ≤ x ≤ 1

Solution

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