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JEE Main2002MathematicsContinuity and DifferentiabilityActual

f is defined in [-5, 5] as f(x) = x if x is rational and = -x is irrational. Then

Options

  1. Af(x) is continuous at every x, except x = 0
  2. Bf(x) is discontinuous at every x, except x = 0
  3. Cf(x) is continuous everywhere
  4. Df(x) is discontinuous everywhere

Correct answer

B. f(x) is discontinuous at every x, except x = 0

Step-by-step solution

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