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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

`(pi)/(4)-cot^(-1)(3)`

B

`(pi)/(4)-tan^(-1)(3)`

C

`(pi)/(4)+cot^(-1)(3)`

D

`(pi)/(4) +tan^(-1)(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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