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The sum of the infinite series cot^(-1)(...

The sum of the infinite series `cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+cot^(-1)( (39)/(4))+cot^(-1)((67)/(4))+…..oo` is :

A

`tan^(-1)4 `

B

`tan^(-1)3`

C

`tan^(-1)2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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