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If f(x) = {(x^kcos(1/x), x ≠ 0), (0, x = 0) is continuous at x = 0, then

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If f(x) = {(xkcos(1/x), x ≠ 0), (0, x = 0) is continuous at x = 0, then

(A) k < 0

(B) k > 0

(C) k = 0

(D) k ≥ 0

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1 Answer

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Answer is (B) k > 0

Since f(x) is continuous at x = 0

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