3n3 – 5n2 + 5 Use the limit comparison test to determine whether . converges or diverges. an = 8 + 9n4 n=5 n=5 (a) Choose a series > bn with terms of the form b, 1 and apply the limit comparison test. Write your answer as a fully n=5 simplified fraction. For n > 5, an lim n00 bn = lim n00 (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 %3D (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive?

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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Question
Зп3 — 5n? + 5
-
Use the limit comparison test to determine whether ) an
converges or diverges.
8 + 9n4
n=5
n=5
(a) Choose a series
bn with terms of the form b,
and apply the limit comparison test. Write your answer as a fully
n=5
simplified fraction. For n > 5,
An
lim
bn
lim
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity. If the limit does not exist, enter DNE.
An
lim
bn
(c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive?
||
Transcribed Image Text:Зп3 — 5n? + 5 - Use the limit comparison test to determine whether ) an converges or diverges. 8 + 9n4 n=5 n=5 (a) Choose a series bn with terms of the form b, and apply the limit comparison test. Write your answer as a fully n=5 simplified fraction. For n > 5, An lim bn lim (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity. If the limit does not exist, enter DNE. An lim bn (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? ||
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