f(x)=(sin ^-1 x)^2·cos (1 / x) if x ≠ 0; f(0)=0, f(x) is: (A) continuous no where in -1 ≤ x ≤ 1 (...

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f(x)=(sin ^-1 x)^2·cos (1 / x) if x ≠ 0; f(0)=0, f(x) is:
(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 -1x1

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