Answer
$\lim\limits_{n \to \infty}$ $\frac{4^{n}}{(1+9^{n})}$ = 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.
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 11 - Section 11.1 - Sequences - 11.1 Exercises - Page 704: 30
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