Use the limit comparison test to determine whether an = (a) Choose a series an lim n→∞ bn = lim n-x lim n→∞ bn 010 M8 n=17 n=17 bn with terms of the form bn = 2 n=17 6n³3n² + 17 7+2n4 converges or diverges. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. For n ≥ 17 nP (b) Evaluate the limit in the previous part. Enter ∞o as infinity and -∞ as -infinity. If the limit does not exist, enter DNE. an (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 an = (a) Choose a series an lim n→∞ bn = lim n-x lim n→∞ bn 010 M8 n=17 n=17 bn with terms of the form bn = 2 n=17 6n³3n² + 17 7+2n4 converges or diverges. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. For n ≥ 17 nP (b) Evaluate the limit in the previous part. Enter ∞o as infinity and -∞ as -infinity. If the limit does not exist, enter DNE. an (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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Transcribed Image Text:Use the limit comparison test to determine whether
an
lim
n→∞ bn
= lim
n→∞
n=17
n-17
=
an =
1
(a) Choose a series bn with terms of the form bn =
and apply the limit comparison test. Write your answer as a fully simplified fraction. For n > 17,
nº
n=17
6n³ - 3n² + 17
7+2n4
converges or diverges.
(b) Evaluate the limit in the previous part. Enter ∞ 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
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