8. Using the Ratio Test find the radius of convergence and interval of convergence. an+1 Let L= lim an n=1 2•4•6••••••(2n) A. L= 0, then R = 0 and I= 0 B. L=1, then R=1 and I= (- 1, 1) C.L = 2, then R= 2 and I= (- 2, 2) D. L=0, then R= 00 and I= (-0o, 00)
8. Using the Ratio Test find the radius of convergence and interval of convergence. an+1 Let L= lim an n=1 2•4•6••••••(2n) A. L= 0, then R = 0 and I= 0 B. L=1, then R=1 and I= (- 1, 1) C.L = 2, then R= 2 and I= (- 2, 2) D. L=0, then R= 00 and I= (-0o, 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
8
![7. Use the Root Test to determine whether the series is convergent or divergent.
Σ
5n
Let L=lim "la,l
-2n
n+1
A. L= 32, the series is divergent
B. L= 0, the series is convergent
C. L= 48, the series is divergent
D. L=1, the series is convergent
8. Using the Ratio Test find the radius of convergence and interval of convergence.
an+1
Let L= lim
n-0o I an
2•4•6.....(2n)
A. L= 0, then R=0 and I = 0
B. L= 1, then R =1 and I= (-1, 1)
C.L= 2, then R= 2 and I= (-2, 2)
D. L= 0, then R= 00 and I= (-0,00)
9. Find a Power series representation for the function and determine the radius of
convergence and interval of convergence.
xta
f(x)
=
x²+q3 , a >0
(-1)"x²"
A. f(x) =
,R = a and 1= (-a, a)
a2n+1
"n=0
(-1)"x"
B. f(x) =
,R= a and 1= (-a, a)
an+1
00
(-1)"x²n
C. f(x) =
, R= 2a and | = (-2a,2a)
a2n+1
(-1)"x"
D. f(x) =
R= 2a and 1=(-2a,2a)
an+1
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33fd7ef1-131c-43f0-ae6f-a624085b23d6%2F45dd327c-89e1-4200-83ed-733694c0d2b0%2Fk5byjz9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. Use the Root Test to determine whether the series is convergent or divergent.
Σ
5n
Let L=lim "la,l
-2n
n+1
A. L= 32, the series is divergent
B. L= 0, the series is convergent
C. L= 48, the series is divergent
D. L=1, the series is convergent
8. Using the Ratio Test find the radius of convergence and interval of convergence.
an+1
Let L= lim
n-0o I an
2•4•6.....(2n)
A. L= 0, then R=0 and I = 0
B. L= 1, then R =1 and I= (-1, 1)
C.L= 2, then R= 2 and I= (-2, 2)
D. L= 0, then R= 00 and I= (-0,00)
9. Find a Power series representation for the function and determine the radius of
convergence and interval of convergence.
xta
f(x)
=
x²+q3 , a >0
(-1)"x²"
A. f(x) =
,R = a and 1= (-a, a)
a2n+1
"n=0
(-1)"x"
B. f(x) =
,R= a and 1= (-a, a)
an+1
00
(-1)"x²n
C. f(x) =
, R= 2a and | = (-2a,2a)
a2n+1
(-1)"x"
D. f(x) =
R= 2a and 1=(-2a,2a)
an+1
3
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 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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