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Sum the series : tan^(-1)((4)/(1+3*4))...

Sum the series :
`tan^(-1)((4)/(1+3*4))+tan^(-1)((6)/(1+8*9))+tan^(-1)((8)/(1+15*16))+……oo` is :

A

`cot^(-1)(2)`

B

`tan^(-1)(2)`

C

`(pi)/(2)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
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