$\"\"$

The series is $\"\"$ .

$\"\"$

The series is in the form of geometric series.

Geometric series:

The geometric series $\"\"$ is converges if and only if the value of $\"\"$ .

Compare the series with general form.

Here $\"\"$ and $\"\"$ .

The value of $\"\"$ .

Therefore, the series $\"\"$ is converges using geometric series test. $\"\"$

The series $\"\"$ is converges using geometric series test.