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Sum of infinite terms of the series cot...

Sum of infinite terms of the series `cot^(-1) ( 1^(2) + 3/4) + cot^(-1) ( 2^(2) + 3/4) + cot^(-1) ( 3^(2) + 3/4) + `... is

A

` pi//4`

B

`tan^(-1)2`

C

`tan^(-1) 3`

D

`tan^(-1) 4`

Text Solution

Verified by Experts

The correct Answer is:
B
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