25. Practice similar Help me with this Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 16, = lim 1-8 lim n→∞ an n=16 9- n² +9 9n 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+1 (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 4E
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25.
Practice similar Help me with this
Use the ratio test to determine whether
lim
n→∞
an+1
lim
n→∞ an
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 16,
∞
lim
n→∞
=
n=16
n² +9
gn
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+1
an
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges
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Transcribed Image Text:25. Practice similar Help me with this Use the ratio test to determine whether lim n→∞ an+1 lim n→∞ an (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 16, ∞ lim n→∞ = n=16 n² +9 gn 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+1 an (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges < Previous Next >
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