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Prove that tan^(- 1)(1/3)+tan^(- 1)(1/7)...

Prove that `tan^(- 1)(1/3)+tan^(- 1)(1/7)+tan^(- 1)(1/13)+..........+tan^-1 (1/(n^2+n+1))+......oo =pi/4`

A

`tan^(-1)((n)/(n+2))`

B

`tan^(-1)((2n)/(n+2))`

C

`tan^(-1)((3n)/(n+2))`

D

`tan^(-1)((n)/(n+4))`

Text Solution

Verified by Experts

The correct Answer is:
A
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