Sum of infinite terms of the series
`cos^(-1) ( 1^(2) + 3/4) + cot^(-1) ( 2^(2) + 3/4) + cot^(-1) ( 3^(2) + 3/4) + `... is

Sum of infinite terms of the series cot^(-1) ( 1^(2) + 3/4) + cot^(-1) ( 2^(2) + 3/4) + cot^(-1) ( 3^(2) + 3/4) + ... is

The sum to infinite terms of the series cot^(- 1)(2^2+1/2)+cot^(- 1)(2^3+1/(2^2))+cot^(- 1)(2^4+1/(2^3))+... is

Sum of infinite terms of series 3 + 5. 1/4 + 7. 1/4^2 + .... is

If the sum of first 16 terms of the series s=cot^(-1)(2^2+1/2)+cot^(-1)(2^3+1/(2^2))+cot^(-1)(2^4+1/(2^3))+ up to terms is cot^(-1)((1+2^n)/(2(2^(16)-1))) , then find the value of ndot

Find sum to infinite terms of the series 1 + 2 ((11)/(10)) + 3 ((11)/(10)) ^(2) + 4 ((11)/(10)) ^(3) +………

Sum up to n terms the series 1+ 2x + 3x^(2) + 4x^(3) + ...

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 :

Prove that : cot^(-1) 3 + cot^(-1).(3)/(4) = cot^(-1) .(1)/(3)

Sum up to n terms the series 1.2^(2)+2.3^(2)+ 3.4^(2)+...