Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Let ƒ(x) = 
(where, [ ] denotes the greatest integer function) and
g (x) = 
. Then for ƒ(g(x)) at x = 0
A
ƒ(g(x)) exist but not continuous
B
Continuous but not differentiable at x = 0
C
Differentiable at x = 0
D
ƒ(g(x)) does not exist
Text Solution
Verified by ExpertsThe correct answer is:
C
Since, ƒ(g(x)) = 
Which is always differentiable in 
and also continuous.
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