lim 1218 at) Use the ratio test to determine whether lim n-00 diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 2, an+1 an = lim n=2 n→ 0⁰ n+9 n! -converges or (b) Evaluate the limit in the previous part. Enter co 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? Choose

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.4: Applications Of Eigenvalues And Eigenvectors
Problem 10E: Find the limit if it exists of Anx1 as n approaches infinity, where A=[02120], and x1=[aa]
Question

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at) Use the ratio test to determine whether
an+1
lim
n→∞0 an
lim
n→∞0
diverges.
(a) Find the ratio of successive terms. Write your answer as a fully simplified
fraction. For n ≥ 2,
an+1
n=2
= lim
n→∞
S
n +9
n!
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity.
If the limit does not exist, enter DNE.
converges or
(c) By the ratio test, does the series converge, diverge, or is the test
inconclusive? Choose
Transcribed Image Text:at) Use the ratio test to determine whether an+1 lim n→∞0 an lim n→∞0 diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 2, an+1 n=2 = lim n→∞ S n +9 n! (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity. If the limit does not exist, enter DNE. converges or (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
2) Use the ratio test to determine whether
diverges.
lim
n→∞0
an+1
an
(a) Find the ratio of successive terms. Write your answer as a fully simplified
fraction. For n ≥ 17,
n=17
lim
n→∞⁰
lim
n→∞⁰ an
n² +8
8"
converges or
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞o as -infinity.
If the limit does not exist, enter DNE.
an+1
= 1/8
(c) By the ratio test, does the series converge, diverge, or is the test
inconclusive?
Converges
Transcribed Image Text:2) Use the ratio test to determine whether diverges. lim n→∞0 an+1 an (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 17, n=17 lim n→∞⁰ lim n→∞⁰ an n² +8 8" converges or (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞o as -infinity. If the limit does not exist, enter DNE. an+1 = 1/8 (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges
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