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
.