"The sum of the infinite terms of the series `cot^(-1)(1^2+3/4)+cot^(-1)(2^2+3/4)+cot^(-1)(3^2+3/4)+
Channel: Doubtnut
Date: 2020-04-19

"The sum of the infinite terms of the series `cot^(-1)(1^2+3/4)+cot^(-1)(2^2+3/4)+cot^(-1)(3^2+3/4)+...+oo`
is equal to
a.`tan^(-1)(1)`
b. `tan^(-1)\ \ (2)`
c.`tan^(-1)2\ `
d. `(3pi)/4-tan^(-1)3`"