The series is
The series can be written as
Consider .
This is a geomentric series with initial term and common ratio
.
Since , the series converges. \ \
Therefore, the sum is .
Consider
This is a geomentric series with initial term and common ratio
.
Since , the series converges.
Therefore the sum is .
.
Therefore the sum of the series is .
The series converges and sum of the series is .