Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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5.6.2
![**Ratio Test for Convergence**
To determine the convergence of the series using the Ratio Test:
\[
\sum_{n=1}^{\infty} \frac{n^3}{0.5^n}
\]
The limit of the ratio test simplifies to:
\[
\lim_{n \to \infty} \left| f(n) \right|
\]
where
\[
f(n) = \text{(input box)}
\]
The limit is:
\[
\text{(input box)}
\]
(Enter "oo" for infinity if needed)](https://content.bartleby.com/qna-images/question/6e511a64-2294-4edc-ba68-869688b4c27f/f9884ff8-645b-48c8-9927-97e5e638cc6e/cc3nm3k_processed.jpeg)
Transcribed Image Text:**Ratio Test for Convergence**
To determine the convergence of the series using the Ratio Test:
\[
\sum_{n=1}^{\infty} \frac{n^3}{0.5^n}
\]
The limit of the ratio test simplifies to:
\[
\lim_{n \to \infty} \left| f(n) \right|
\]
where
\[
f(n) = \text{(input box)}
\]
The limit is:
\[
\text{(input box)}
\]
(Enter "oo" for infinity if needed)
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