Use the limit comparison test to determine whether a. Choose a series bn with terms of the form b n=11 lim n x an bn = lim 81x 83 = n + 11 4 7n² +4n n=11 3 an = = 8 n=11 8n³ - 6n² + 11 7+4n4 converges or diverges. b. Evaluate the limit in the previous part. Give an exact answer if the limit is a number. Otherwise, enter -∞ or ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. NP an lim n→∞ bn c. By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges X
Use the limit comparison test to determine whether a. Choose a series bn with terms of the form b n=11 lim n x an bn = lim 81x 83 = n + 11 4 7n² +4n n=11 3 an = = 8 n=11 8n³ - 6n² + 11 7+4n4 converges or diverges. b. Evaluate the limit in the previous part. Give an exact answer if the limit is a number. Otherwise, enter -∞ or ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. NP an lim n→∞ bn c. By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges X
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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Transcribed Image Text:Use the limit comparison test to determine whether
a. Choose a series bn with terms of the form b
n=11
lim
n x
an
bn
= lim
81x
83
=
n + 11
4
7n² +4n
n=11
3
an
=
=
8
n=11
8n³ - 6n² + 11
7+4n4
converges or diverges.
b. Evaluate the limit in the previous part. Give an exact answer if the limit is a number. Otherwise, enter -∞ or ∞ if the limit is infinite, or enter DNE if the
limit does not exist in another way.
1
and apply the limit comparison test. Write your answer as a fully simplified fraction.
NP
an
lim
n→∞ bn
c. By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges
X
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