Use the ratio test to determine whether m an+1 an n=21 = lim n-→∞0 9n Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 21, converges or diverges. Evaluate the limit in the previous part. Enter ∞o as infinity and -∞o as -infinity. If the limit does not exist, enter DNE. an+1 an 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
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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Use the ratio test to determine whether
an+1
lim
n→∞0 an
= lim
n→∞0
M8
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 21,
n=21
=
n² +9
9n
converges or diverges.
(b) Evaluate the limit in the previous part. Enter ∞o as infinity and -∞o as -infinity. If the limit does not exist, enter DNE.
an+1
n→∞ an
lim
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges
Transcribed Image Text:Use the ratio test to determine whether an+1 lim n→∞0 an = lim n→∞0 M8 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 21, n=21 = n² +9 9n converges or diverges. (b) Evaluate the limit in the previous part. Enter ∞o as infinity and -∞o as -infinity. If the limit does not exist, enter DNE. an+1 n→∞ an lim (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges
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