# Find the values of x for which the series x + x^3 + x^5 + • • • converges, and express the sum as a function of x. infinite series problems and solutions | solved problems in calculus

## Solution

## The geometric sum formula for infinite terms is given as:

If common ration |r| < 1, S_\infty=\frac{a}{1-r}

## If |r| > 1, the series does not converge and it has no sum.

Where