For `x>0` the sum of the series `1/(1+x)-(1-x)/(1+x)^2+(1-x)^2/(1+x)^3-....oo` is equal to

For x gt 0 the sum of the series (1)/(1+x) - ((1-x))/((1+x)^(2))+ ((1-x)^(2))/((1+x)^(3))- cdots oo is equal to

Let x,|x-1| and |x+1| be the first three terms of a G.P.then sum of the series (1)/(x)+(1)/(|x-1|)+(1)/(|x+1|)+...oo is equal to

Let x , |x-1| and |x + 1| be the first three terms of a G.P. then sum of the series (1)/(x)+ (1)/(|x-1|)+(1)/(|x+1|)+cdots oo is equal to

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

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

Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)++n(1-x)(1-2x)(1-3x)[1-(n-1)x] .

Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)++n(1-x)(1-2x)(1-3x)[1-(n-1)x] .

The sum of the series (x-1)/(x+1)+1/2(x^(2)-1)/(x+1)^(2)+1/3(x^(3)-1)/(x+1)^(3) +…is equal to

Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)+...+n(1-x)(1-2x)(1-3x)...[1-(n-1)x