Find the sum of the infinite geometric series: S=1+11+x+1(1+x)2+1(1+x)3+…S = 1 + \frac{1}{1 + x} + \frac{1}{(1 + x)^2} + \frac{1}{(1 + x)^3} + \dotsS=1+1+x1+(1+x)21+(1+x)31+… assuming x>0x > 0x>0.
1+1x1 + \frac{1}{x}1+x1
\frac{1}{x}
\frac{1+x}{1-x}
1+x1 + x1+x