If f(x)= array l x, when x is rational 1-x, when x is irrational, then array .

Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability

1. f (x) is continuous for all real x
2. f (x) is discontinuous for all real x
3. f (x) is continuous only at x = 1/2
4. f (x) is discontinuous only at x = 1/2

Answer

(C) f (x) is continuous only at x = 1/2

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