Use the limit comparison test to determine whether Σ an = n=11 n=11 lim a. Choose a seriesbn, with terms of the form bn = 1 NP and apply the limit comparison test. Write your answer as a fully simplified fraction. n=11 an bn = lim n→∞0 8 3 8n6n² +11 7+4n4 n +11 converges or diverges. 7n² +4n 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. an lim = 4 n→∞ bn c. By the limit comparison test, does the series converge, diverge, or is the test inconclusive? [Converges

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The dropdown choices are converges, diverges, inconclusive

Use the limit comparison test to determine whether
∞
a. Choose a series bn with terms of the form bn
=
n=11
an
lim
lim
n→x bn n→∞
8
Int
4
n n +11
+4n
m/m
n=11
▶
an
n=11
8n
6n² + 11
7+4n4
converges or diverges.
1
and apply the limit comparison test. Write your answer as a fully simplified fraction.
nº
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.
an
lim
n→∞ bn
c. By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges
Transcribed Image Text:Use the limit comparison test to determine whether ∞ a. Choose a series bn with terms of the form bn = n=11 an lim lim n→x bn n→∞ 8 Int 4 n n +11 +4n m/m n=11 ▶ an n=11 8n 6n² + 11 7+4n4 converges or diverges. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. nº 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. an lim n→∞ bn c. By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges
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