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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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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
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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