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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 54E
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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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