Answer
converges to $0$
Work Step by Step
Divide top and bottom by $9^n$.
We have $\lim\limits_{n \to \infty}$ $\frac{(\frac{4}{9})^{n}}{(\frac{1}{9^{n}})+1}$ = $\frac{0}{1}$ = 0.
Hence, the sequence converges to $0$.
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 11 - Infinite Sequences and Series - 11.1 Sequences - 11.1 Exercises - Page 744: 30
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
