$\"\"$

Convergence of geometric-series :

The geometric-series $\"\"$ .

1.The geometric-series is converges if $\"\"$ , and

2. Diverges if $\"\"$ .

$\"\"$

The integral series is $\"\"$ .

The general form of geometric series is $\"\"$ .

Compare the series with general form.

Here $\"\"$ .

Therefore, the series $\"\"$ is diverges.

The series $\"\"$ is diverges.