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Black Book Advanced Problems in MathematicsMathematicsLimits

If _ x c^- x and _ x c^+ x exists finitely but they are not equal (where denotes fractional part function), then :

Options

  1. A' c ' can take only rational values
  2. B' c ' can take only irrational values
  3. C' c ' can take infinite values in which only one is irrational
  4. D' c ' can take infinite values in which only one is rational

Correct answer

D. ' c ' can take infinite values in which only one is rational

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