$\"\"$

The integral Test :

If $\"\"$ is positive, continous, and decreasing for $\"\"$ and $\"\"$ then $\"\"$ and $\"\"$ either converge or both diverge.

$\"\"$

The integral series is $\"\"$ .

Let the function be $\"\"$ .

$\"\"$ is positive, continuous and decreasing for $\"\"$ and hence we can apply integral test to test the convergence of the series.

$\"\"$ .

Basic Integral formula: $\"\"$ .

$\"\"$

The series converges.