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
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
Related questions
Question

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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