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Black Book Advanced Problems in MathematicsMathematicsFunctions

If h(x) = [ x e ] + [ e x ] , where [ ] denotes greatest integer function, then which of the following are true ?

Options

  1. Arange of h(x) is -1, 0
  2. BIf h(x) = 0 , then x must be irrational
  3. CIf h(x) = -1 , then x can be rational as well as irrational
  4. Dh(x) is periodic function

Correct answer

A. range of h(x) is -1, 0

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