💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Numerade Educator

# Determine whether the series is convergent or divergent.$\displaystyle \sum_{n = 1}^{\infty} \frac {1}{n^{\sqrt 2}}$

## The series is convergent

Sequences

Series

### Discussion

You must be signed in to discuss.

Lectures

Join Bootcamp

### Video Transcript

to determine whether the Siri's is conversion, not virgin. We can use the P Siri's test, which states that for a Siri's from an equals one to infinity of the form one over end the P power in the serious converges if P is greater than one. So we noticed in this case we have won over and to the square two. So you know, he is the square root of two. And we know that the square root of two has to be greater than the squared of one. And we know that squared of one is one. So in this case, we have p greater than one, meaning the serious his conversion.

Sequences

Series

Lectures

Join Bootcamp