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

The sum of the series cot^(-1)((9)/(2))+cot^(-1)((33)/(4))+cot^(-1)((129)/(8))+…….oo is equal to :

The sum of the series cot^(-1)((9)/(2))+cot^(-1)((33)/(4))+cot^(-1)((129)/(8))+…….oo is equal to :

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

Prove that cot^(-1)(3)-cot^(-1)(4)=cot^(-1)(13)

The sum of cot^(-1)(3/4)+cot^(-1)(7/4)+cot^(-1)(19/4)+ cot^(-1)(39/4)......oo

The sum of the series cot^(-1)2+cot^(-1)8+cot^(-1)18+cot^(-1)32.........

The sum of cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+cot^(-1)((39)/(4))+cot^(-1)((67)/(4))..... oo is equal to :