The sum of the series tan ^(-1)"" (1)/...

The sum of the series
`tan ^(-1)"" (1)/( 1 + 1 + 1 ^(2)) + tan ^(-1)"" (1)/( 1 + 2 + 2 ^(2)) + tan ^(-1) ""(1)/( 1 + 3 + 3 ^(2)) +...` is equal to : a)`pi/4` b)`pi/2` c)`pi/3` d)`pi/6`

A

`pi/4`

B

`pi/2`

C

`pi/3`

D

`pi/6`

Verified by Experts

The correct Answer is:

B

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