The value of Sigma(r=1)^(infty) tan^(-1...

The value of ` Sigma_(r=1)^(infty) tan^(-1) ( 1/(r^(2) + 5r + 7))` is equal to

A

`tan^(-1) 3`

B

`pi/4`

C

`pi/2-cos^(-1) . 1/sqrt10`

D

`cot^(-1) 2`

Verified by Experts

The correct Answer is:

C

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