Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If f(x) = 
[·] denotes greatest integer function.
{} denotes fractional part function. Then
A
f(x) is continuous at x = 1
B
f(x) is not continuous at x = 1
C
f(x) does not exist
D
f(x) is differentiable at x = 1
Text Solution
Verified by ExpertsThe correct answer is:
A
R.H.L. 
= 
= + 1
f(1) = 
= + 1
L.H.L. 
[1 – h] + 
= 0 + 1 = + 1
f(x) is continuous at x = 1
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