Use the limit comparison test to determine whether (a) Choose a series bn with terms of the form bn = an lim nxx bn = lim 1-80 n=4 n=4 an = n=4 5n+ 9 4n³+2n² +4 converges or diverges. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. For n ≥ 4, NP (b) Evaluate the limit in the previous part. Enter ∞o as infinity and -∞o as -infinity. If the limit does not exist, enter DNE. an lim n→∞ bn (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Choose

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the limit comparison test to determine whether
(a) Choose a series
an
lim
n→∞ bn
= lim
n→∞
∞
=
n=4
Σαπ-Σ
n=4
bn with terms of the form bn =
n=4
5n +9
4n³ + 2n² + 4
converges or diverges.
1
and apply the limit comparison test. Write your answer as a fully simplified fraction. For n > 4,
nº
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and - as -infinity. If the limit does not exist, enter DNE.
an
lim
n→∞ bn
(c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Choose
Transcribed Image Text:Use the limit comparison test to determine whether (a) Choose a series an lim n→∞ bn = lim n→∞ ∞ = n=4 Σαπ-Σ n=4 bn with terms of the form bn = n=4 5n +9 4n³ + 2n² + 4 converges or diverges. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. For n > 4, nº (b) Evaluate the limit in the previous part. Enter ∞ as infinity and - as -infinity. If the limit does not exist, enter DNE. an lim n→∞ bn (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Choose
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