Use the limit comparison test to determine whether an = n=12 an lim = lim n→∞ bn n-x n=12 (a) Choose a series b, with terms of the form b₁ = and apply the limit comparison test. Write your answer as a fully simplified fractio n=12 For n ≥ 12, 9. = 6n³-7n² + 12 2+2n4 converges or diverges. (b) Evaluate the limit in the previous part. Enter ∞o as infinity and -∞ 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? Diverges
Use the limit comparison test to determine whether an = n=12 an lim = lim n→∞ bn n-x n=12 (a) Choose a series b, with terms of the form b₁ = and apply the limit comparison test. Write your answer as a fully simplified fractio n=12 For n ≥ 12, 9. = 6n³-7n² + 12 2+2n4 converges or diverges. (b) Evaluate the limit in the previous part. Enter ∞o as infinity and -∞ 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? Diverges
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 71E
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Transcribed Image Text:20.
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Use the limit comparison test to determine whether
(a) Choose a series bn with terms of the form b
For n ≥ 12,
an
lim
n→∞ bn
=
∞
lim
n→∞
=
n=12
I
∞
n=12
-
an
-
∞
n=12
6n³7n² + 12
2+2n4
converges or diverges.
(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→∞ bn
(c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Diverges
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and apply the limit comparison test. Write your answer as a fully simplified fraction.
NP
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