Test the series below for convergence using the Ratio Test. n+ 3 3n+3 n=1 The limit of the ratio test simplifies to lim f(n)| where 11-> 00 f(n) = The limit is: (enter oo for infinity if needed) Based on this, the series Converges OF
Test the series below for convergence using the Ratio Test. n+ 3 3n+3 n=1 The limit of the ratio test simplifies to lim f(n)| where 11-> 00 f(n) = The limit is: (enter oo for infinity if needed) Based on this, the series Converges OF
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 5RE
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Question
![Test the series below for convergence using the Ratio Test.
n+ 3
3n+3
n=1
The limit of the ratio test simplifies to lim f(n)| where
11-> 00
f(n) =
The limit is:
(enter oo for infinity if needed)
Based on this, the series Converges
OF](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10a765d3-631a-4218-a316-73795fe6c7ad%2Fb5e07f35-aadd-4a92-a17d-5b85a36e2b67%2Fxwsmg6_processed.png&w=3840&q=75)
Transcribed Image Text:Test the series below for convergence using the Ratio Test.
n+ 3
3n+3
n=1
The limit of the ratio test simplifies to lim f(n)| where
11-> 00
f(n) =
The limit is:
(enter oo for infinity if needed)
Based on this, the series Converges
OF
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![Test the series below for convergence using the Ratio Test.
n+ 3
43n+3
72
The limit of the ratio test simplifies to lim f(n)| where
11-→ ∞0
f(n) =
n+3
4³n+3
The limit is:
(enter oo for infinity if needed)
Based on this, the series Converges
V](https://content.bartleby.com/qna-images/question/10a765d3-631a-4218-a316-73795fe6c7ad/5a97ee05-2255-40b6-9fbc-8dca13ec7a80/cu1119i_thumbnail.png)
Transcribed Image Text:Test the series below for convergence using the Ratio Test.
n+ 3
43n+3
72
The limit of the ratio test simplifies to lim f(n)| where
11-→ ∞0
f(n) =
n+3
4³n+3
The limit is:
(enter oo for infinity if needed)
Based on this, the series Converges
V
Solution
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