Find the sum of the series `tanx +2tan2x+2^2tan2^2 x+…+ 2^(n-1)tan2^(n-1)x`

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(1/3)+tan^- 1(2/9)+....+tan^- 1((2^(n-1))/(1+2^(2n-1)))+...... oo

Find the sum of the series 1+2x+3x^2+(n-1)x^(n-2) using differentiation.

Find the sum of the series 1+2x+3x^2+(n-1)x^(n-2) using differentiation.

Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+tan^-1 (1/(x^2+3x+3))+tan^-1(1/(x^2+5X+7))+tan^-1(1/x^2+7x+13)) ......upto n.

Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+tan^-1 (1/(x^2+3x+3))+tan^-1(1/(x^2+5X+7))+tan^-1(1/x^2+7x+13)) ......upto n.

Find the sum n terms of seires tan theta+1/2tan(theta/2 )+1/(2^2)tan(theta/(2^2))+1/(2^3)tan(theta/(2^3))+....

Find the set of values of x for which (tan 3x - tan 2x)/ (1+ tan3x tan 2x) = 1

Find the sum of the series (1+2x+3x^(2)+(n-1)x^(n-2)) using differentiation.

Find the sum : tanx.tan2x+tan2xtan3x+….+tannx. tan(n+1)x