The series is
.
Direct comparision test :
\Let
for all
.
1. If
converges, then
converges.
2. If
diverges, then
diverges.
Here
and consider
.
.
Using direct comparision test if
converges then
is converges.
Since
is a geometric series, it is convergence. \ \
Therefore, the series
is converges by using direct comparison test.
The series
is converges by using direct comparison test.