Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Which of the following function is/are periodic?
A
B
, where [.] denotes the greatest integer function,
C
, where [.] denotes the greatest integer function D
, where [.] denotes the greatest integer function, and 
is a rational number
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, c, d)
or 
where 
is any rational number
Therefore, 
is periodic function, but its fundamental period cannot be determined. Thus,
Draw the graph from which it can be verified that period is 2 .
or 
Hence, the period is 
.
is periodic with period 
is periodic with period 2.
Now, the LCM of 1 and 2 is 2 . Hence, the period of 
is 2 .
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