Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Given a real valued function f such that
f(x) = 
where [ . ] represents greatest integer function and { . } represents fractional part function, then
A
f(x) = 1
B
f(x) = 
C
cot –1 
= 1
= 1
D
f(x) = 0
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b,c,d)To find 
f(x)
L.H.L. = 
f(x) = 
= 
= 
R.H.L. = 
f(x) = 
= 
= 
= 0
L.H.L. ≠ R.H.L. so f(x) does not exist. f(x) is not continuous at x = 0.
Now cot –1 
= cot –1 
= cot –1 (cot 1) =1
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