Use the limit comparison test to determine whether 6n + 4 an = n=4 4n° + 2n² + 9 converges or diverges. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. For (a) Choose a series > br with terms of the form b, = n=4 n 4, an lim n0o bn = lim n00 4n° + 2n +9 (b) Evaluate the limit in the previous part. Enter oo as infinity and –∞ as -infinity. If the limit does not exist, enter DNE. -0- an lim n00 bn (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges Hint: IM:

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.2: Decimal Forms Of Rational Numbers
Problem 42WE
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Use the limit comparison test to determine whether
6n + 4
an =
4n° + 2n2 + 9
converges or diverges.
n=4
n=4
(a) Choose a series
b, with terms of the form b,
and apply the limit comparison test. Write your answer as a fully simplified fraction. For
n=4
n> 4,
an
lim
n00 b.
lim
4n° + 2n2 +
9
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and -o as -infinity. If the limit does not exist, enter DNE.
lim an
(c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges
Hint:
Transcribed Image Text:00 Use the limit comparison test to determine whether 6n + 4 an = 4n° + 2n2 + 9 converges or diverges. n=4 n=4 (a) Choose a series b, with terms of the form b, and apply the limit comparison test. Write your answer as a fully simplified fraction. For n=4 n> 4, an lim n00 b. lim 4n° + 2n2 + 9 (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -o as -infinity. If the limit does not exist, enter DNE. lim an (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges Hint:
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