CGGC Q10

0. Choose the functions that are periodic.

  • Option : C
  • Explanation :
    For f(x) = x - [x]; where [x] stands for the greatest integer ≤ x,
    solving the equation f(x + T) = f(x),
    we get T = 1 as the period.
    f(x) = |cos(x)| is periodic with period π
    n.f(x) = (x)cos(x) and
    f(x) = sin(1/x)
    if x ≠ 0; 0 otherwise are not periodic.
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