Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the sum of the following series as n → ∞ ,
+ 
+ 
+ .......+ 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. Let
S = 
= 
= 
= 
For the corresponding definite integral,
Lower limit = 
= 
= 0
[ r = 1 for the first term]
Upper limit = 
= 
= 1
[ r = n for the last term]
∴ S = 
= 
dx = [tan –1 x] 0 1 = 
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