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Black Book Advanced Problems in MathematicsMathematicsFunctions

Which of the following function is periodic with fundamental period ?

Options

  1. Af(x) = x + [ x 2 ] ; where [ ] denotes greatest integer function
  2. Bg(x) = x + 7x x + 7x + | x|
  3. Ch(x) = x + | x| ; where denotes fractional part function
  4. D(x) = | x| + ( x)

Correct answer

B. g(x) = x + 7x x + 7x + | x|

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