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

Determine whether the sequence converges or diverges. If it converges, find the limit.$a_n = \frac {3 + 5n^2}{n + n^2}$

5 as $n \rightarrow \infty$. Converges

Sequences

Series

Discussion

You must be signed in to discuss.
Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Samuel H.

University of Nottingham

Michael J.

Idaho State University

Lectures

Join Bootcamp

Video Transcript

to figure out whether or not this converges. We just need to figure out whether or not this limit exists. Okay, so we could do the trick where we divide the top and the bottom by the largest power of end that we see in the denominator. It's in this case we'd be dividing the top in the bottom. Bye. In squared, as in Goes to infinity three over and squared, goes to zero and one over and goes to zero as well. So we just have five over one, which is five. So it does converge and it converges two five.

Topics

Sequences

Series

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Samuel H.

University of Nottingham

Michael J.

Idaho State University

Lectures

Join Bootcamp