Published by:
CGP EDU Academic Team
Published on: August 12, 2026
( [ ] denotes greatest integer function ) equal -
Text Solution
Verified by ExpertsThe correct answer is:
B
(i) If x = Rational No. then 
. π x = Integer π
∴ cos ( 
. π x) = (–1 or 1)
cos 2n ( 
π x) = + 1
(1 + cos 2m ( 
π x)) = 1 + 1 = 2
(ii) If x Irrational No then 
π x= (Non Integer) π
(∴ – 1 < cos ( 
π x) < 1
⇒ 
(cos 2m ( 
π x)) = 0 ∴ (less than 1) ∞ = 0
⇒ 
(1 + cos 2m 
π x) =1 + 0 = 1
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