Use the limit comparison test to determine whether 6n + 4 an = n=4 4n° + 2n² + 9 converges or diverges. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. For (a) Choose a series > br with terms of the form b, = n=4 n 4, an lim n0o bn = lim n00 4n° + 2n +9 (b) Evaluate the limit in the previous part. Enter oo as infinity and –∞ as -infinity. If the limit does not exist, enter DNE. -0- an lim n00 bn (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges Hint: IM:
Use the limit comparison test to determine whether 6n + 4 an = n=4 4n° + 2n² + 9 converges or diverges. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. For (a) Choose a series > br with terms of the form b, = n=4 n 4, an lim n0o bn = lim n00 4n° + 2n +9 (b) Evaluate the limit in the previous part. Enter oo as infinity and –∞ as -infinity. If the limit does not exist, enter DNE. -0- an lim n00 bn (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges Hint: IM:
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.2: Decimal Forms Of Rational Numbers
Problem 42WE
Related questions
Question
100%
![00
Use the limit comparison test to determine whether
6n + 4
an =
4n° + 2n2 + 9
converges or diverges.
n=4
n=4
(a) Choose a series
b, with terms of the form b,
and apply the limit comparison test. Write your answer as a fully simplified fraction. For
n=4
n> 4,
an
lim
n00 b.
lim
4n° + 2n2 +
9
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and -o as -infinity. If the limit does not exist, enter DNE.
lim an
(c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges
Hint:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b2aacdb-f55c-40ff-8467-8e7343d790c7%2F2a4a3463-c40e-470d-8e10-90910e072095%2Fmqkgrsi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:00
Use the limit comparison test to determine whether
6n + 4
an =
4n° + 2n2 + 9
converges or diverges.
n=4
n=4
(a) Choose a series
b, with terms of the form b,
and apply the limit comparison test. Write your answer as a fully simplified fraction. For
n=4
n> 4,
an
lim
n00 b.
lim
4n° + 2n2 +
9
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and -o as -infinity. If the limit does not exist, enter DNE.
lim an
(c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges
Hint:
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.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Elementary Algebra](https://www.bartleby.com/isbn_cover_images/9780998625713/9780998625713_smallCoverImage.jpg)
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University