Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
cos –1 β r = 
for any k ≥ 1 and A = 
( β r ) r . Then 
=
Text Solution
Verified by ExpertsThe correct answer is:
A
For k = 1, cos –1 β 1 = 
⇒ β 1 = cos 
= 0
k = 2, cos –1 β 1 + cos –1 β 2 = π
⇒ cos –1 β 2 = 
= β 2 = 0
By induction β j = 0, j = 1, …… k.
Hence A = 
( β r ) r = 0
Required limit 
= 
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