$\"\"$ \ \

The series is $\"\"$ . \ \

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

$\"\"$ -Series test : \ \

If the series $\"\"$ where $\"\"$ . \ \

If $\"\"$ then the $\"\"$ series converges. \ \

If $\"\"$ then the $\"\"$ series diverges. \ \

Consider $\"\"$ . \ \

Compare the series with general series. \ \

Here $\"\"$ . \ \

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

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

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