# Find the values of x for which the series Inx + (Inx)^2 + (Inx)^3 + • • • converges and express the sum as a function of x.| infinite series problems and solutions | solved problems in calculus

## Solution

lnx+(lnx)^2+(lnx)^3+(lnx)^4+...

## 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