Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If f : R → R is a function defined by f(x) = [x] cos 
π , where[x] denotes the greatest integer function, then f is :
Text Solution
Verified by ExpertsThe correct answer is:
A
Doubtful points are x = n, n ∈ I
L.H.L = 
[x] cos 
π = (n – 1) cos 
π = 0
R.H.L. = 
[x] cos 
π = n cos 
π = 0
f(n) = 0
Hence continuous
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