Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Range of the function
, where
denotes fractional part function
Text Solution
Verified by ExpertsThe correct answer is:
D
Simplify the Function:
Since
for any value where
, the function simplifies to:

Evaluate Range of
:
The range of the fractional part function is
.
Find Bounds for 
is a strictly decreasing function.
For 
As
(approached but not reached)
So, the range of
is
.
Add the constant
:

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