Step 1 We will use the Ratio Test to determine the radius of convergence. We have the following. th+ 7 an + 1 8(n + 1)! lim lim an xh + 6 8n! th +7 8 n! lim п! %D n → o 8(n + 1)! th + 6 Step 2 Simplifying, we get lim n → 00
Step 1 We will use the Ratio Test to determine the radius of convergence. We have the following. th+ 7 an + 1 8(n + 1)! lim lim an xh + 6 8n! th +7 8 n! lim п! %D n → o 8(n + 1)! th + 6 Step 2 Simplifying, we get lim n → 00
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![Find the radius of convergence, R, of the series.
xh + 6
8n!
n = 2
Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)
Step 1
We will use the Ratio Test to determine the radius of convergence.
We have the following.
xn + 7
lim
a
n + 1
8(n + 1)!
lim
n → 00
a
xn + 6
8n!
8
n!
lim
n → o 8(n + 1)!
n!
=
xn + 6
Step 2
Simplifying, we get lim](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bb7c04b-31f7-4ac4-b04e-9c07278fceb0%2F2ed269cc-6d16-4463-9c19-47ca28e05e9d%2Fwr64uru_processed.png&w=3840&q=75)
Transcribed Image Text:Find the radius of convergence, R, of the series.
xh + 6
8n!
n = 2
Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)
Step 1
We will use the Ratio Test to determine the radius of convergence.
We have the following.
xn + 7
lim
a
n + 1
8(n + 1)!
lim
n → 00
a
xn + 6
8n!
8
n!
lim
n → o 8(n + 1)!
n!
=
xn + 6
Step 2
Simplifying, we get lim
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning