$\"\"$

The series is $\"\"$ .

Graph the function $\"\"$ on interval $\"\"$ and graph the series $\"\"$ . $\"\"$

Observe the graph:

The dark blue portion below the pink curve is $\"\"$ .

The rectangles represent $\"\"$ .

Therefore, $\"\"$ .

$\"\"$

Consider $\"\"$ .

The series is in the form of $\"\"$ -series.

$\"\"$ -series: $\"\"$ , if $\"\"$ , then the series converges.

Here $\"\"$ .

Therefore, $\"\"$ is converges.

Since $\"\"$ is converges, $\"\"$ also converges.

$\"\"$

Graph:

$\"\"$

The series is converges.