Question

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 + ..... is

A. 1/2

B. 3/4

C. 1

D. none of these

Answer 1

It’s first term is \(\frac{1}{1+x}\) and common ratio is \(-\frac{1-x}{1+x}\)

Sum of infinite terms of G.P.