FunctionMedium
Question
Which of the following functions is periodic ?
Options
A.f (x) = x -[x] where [x] denotes the greatest integer less than or equal to the real number x
B.f(x) = sin 
for x ≠ 0, f(0) = 0
for x ≠ 0, f(0) = 0C.f(x) = x cos x
D.None of the above
Solution
Clearly, f (x) = -[x] = {x}
which has period 1.
And sin
, x cos x are non-periodic functions.
which has period 1.
And sin
, x cos x are non-periodic functions.Create a free account to view solution
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