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If f(x) = {((x - |x|)/x, when x ≠ 0), (2, when x = 0), then

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If f(x) = {((x - |x|)/x, when x ≠ 0), (2, when x = 0), then

(A) f(x) is continuous at x = 0 

(B) f(x) is discontinuous at x = 0

(C) lim(x →0) f(x) = 2

(D) None of these

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Answer is (B) f(x) is discontinuous at x = 0

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