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

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

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

The sum of the series (1)/(1!)x+(2)/(2!)x^(2)+(3)/(3!)x^(3) ….. To infty is

If x is positive,the sum to infinity of the series (1)/(1+x)-(1-x)/((1+x)^(2))+((1-x)^(2))/((1+x)^(3))-((1-x)^(3))/((1+x)^(4))+is1/2 (b) 3/4 (c) 1 (d) none of these

lim_(x rarr 1)[1+(1+x)/(2!)+(1+x+x^2)/(3!)+...+oo] is equal to

Sum to n terms of the series 1+(1+x)+(1+x+x^(2))+(1+x+x^(2)+x^(3))+