$\"\"$

The series is $\"\"$ .

Apply the formula for the sum of first $\"\"$ whole numbers.

$\"\"$

Compare $\"\"$ with $\"\"$ which is $\"\"$ -series where $\"\"$ .

Therefore the series $\"\"$ converges by $\"\"$ -series test.

$\"\"$

Apply the limit comparision test.

$\"\"$

By the limit comparision test, $\"\"$ converges.

$\"\"$

The series $\"\"$ converges.