Find the sum series: `tan^-1 (1/3)+tan^-1 (1/7)+tan^-1(1/13)+…to oo`

Find the sum of the series tan^-1(1/2)+tan^-1(1/2)+tan^-1(1/18)+tan^-1(1/32)+............ to n terms

Find the sum of the series tan^(-1) 1/2+tan^(-1) 1/8+tan^(-1) 1/18+tan^(-1) 1/32+...oo

Find the sum of the series : tan^- 1(1/3)+tan^- 1(2/9)+....+tan^- 1((2^(n-1))/(1+2^(2n-1)))+...... oo

Find the sum of the series : tan^- 1(1/3)+tan^- 1(2/9)+....+tan^- 1((2^(n-1))/(1+2^(2n-1)))+...... oo

Find the sum of the series : tan^- 1(1/3)+tan^- 1(2/9)+....+tan^- 1((2^(n-1))/(1+2^(2n-1)))+...... oo

Prove that : 2 tan^-1(1/7) + tan^-1(1/3) = tan^-1(9/13)

If "S" is the sum of the first "10" terms of the series tan "^(-1)((1)/(3))+tan^(-1)((1)/(7))+tan^(-1)((1)/(13))+tan^(-1)((1)/(21))+.... ,then "tan(S)" is equal to:

Prove that tan^-1(1/7)+tan^-1(1/13)=tan^-1(2/9)

Prove that tan^-1 (1/7) + tan^-1 (1/13) = tan^-1 (2/9)

PT tan^(-1)(3/4)+tan^(-1)(1/3)=tan^(-1)(13/9)