Direct comparison test:
\Let
for all
.
1.If
convergence, then
convergence.
2.If
diverges, then
diverges.
The series is
.
Here
and
.
Observe that
for all
on
.
The series
is diverges.
Using direct comparision test if the series
is diverges then
is diverges.
Therefore, the series
is diverges.
The series
is converges.