Use the limit comparison test to determine whether ∞ 7n³ - 6n² + 14 8 + 2n4 n=14 An = 30 ∞ n=14 an lim n+∞ bn 1 nº comparison test. Write your answer as a fully simplified fraction. For n > 14, (a) Choose a series bn with terms of the form b = ∞ = lim n→∞ converges or diverges. n=14 and apply the limit (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+∞0 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
Section: Chapter Questions
Problem 1RQ
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Question
Use the limit comparison test to determine whether
x
7n³6n² + 14
8 + 2n4
n=14
An =
30
∞
n=14
an
lim
n→∞o bn
1
n=14
nº
comparison test. Write your answer as a fully simplified fraction. For n > 14,
(a) Choose a series bn with terms of the form b
=
∞
=
converges or diverges.
lim
n→∞0
and apply the limit
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as
-infinity. If the limit does not exist, enter DNE.
an
lim
no 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 x 7n³6n² + 14 8 + 2n4 n=14 An = 30 ∞ n=14 an lim n→∞o bn 1 n=14 nº comparison test. Write your answer as a fully simplified fraction. For n > 14, (a) Choose a series bn with terms of the form b = ∞ = converges or diverges. lim n→∞0 and apply the limit (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity. If the limit does not exist, enter DNE. an lim no bn (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Choose
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