Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 11 - Infinite Series - 11.1 Sequences - Exercises - Page 537: 17



Work Step by Step

Since we have $$\lim_{n\to \infty}b_n=\lim_{n\to \infty}\frac{5n-1}{12n+9}=\lim_{n\to \infty}\frac{5-(1/n)}{12+(9/n)}=\frac{5}{12}$$ then the sequence $b_n$ converges to $\frac{5}{12}$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.