Test the series below for convergence using the Ratio Test. n=1 n³ 0.5" The limit of the ratio test simplifies to lim |ƒ(n)| n→∞ where f(n) = The limit is: (enter oo for infinity if needed)
Test the series below for convergence using the Ratio Test. n=1 n³ 0.5" The limit of the ratio test simplifies to lim |ƒ(n)| n→∞ where f(n) = The limit is: (enter oo for infinity if needed)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e511a64-2294-4edc-ba68-869688b4c27f%2Ff9884ff8-645b-48c8-9927-97e5e638cc6e%2Fcc3nm3k_processed.jpeg&w=3840&q=75)
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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