Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Evaluate :
where [.] denotes the greatest integer function.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. For any integer k, we have k 2 x – 1 < [k 2 x] ≤ k 2 x + 1
⇒ 
< 
≤ 
⇒ 
< 
≤ 
(k 2 x + 1)
⇒ 
– 
< 
≤
+ 
Taking limit as n → ∞ , we get
– 0 ≤ 
≤ 
+ 0
∴ 
= 
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