If the sum of the series `1+2/x+4/x^2+8/x^3+....oo` is finite number then

The sum of the series 1/2x^2+2/3x^3+3/4x^4+4/5x^5+ ... is :

If |x| lt 1 ,then the sum of the series 1 + 2x + 3x^(2) + 4x^(2) + ....infty will be

If the sum of the series 1+ (3)/(x) + (9)/(x^(2))+ (27)/(x^(3)) + …oo is a finite number, then

If the sum of the series 1 + (2)/(x) + (4)/(x^(2)) + (8)/(x^(3)) + …………….. is a finite number, then:

The sum of the series 1 + 2x + 3x^(2) + 4x^(3) +"…." to oo where x lies between 0 and 1 i.e., 0 lt x lt 1 is :

Find the sum to ininity of the series 1-3x+5x^2+7x^3+..... oo when Ix| <1.

Find the sum to ininity of the series 1-3x+5x^(2)+7x^(3)+....oo when lx|<1

Find the sum to ininity of the series 1-3x+5x^2+7x^3+..... oo when Ix| <1.

If the sum of series 1+(3)/(x)+(9)/(x^(2))+(27)/(x^(3))+ . . .. " to "oo is a finite number, then