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 ≥ 26, n=26 = lim n-x lim n→∞ an n +8 n! 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 (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
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→∞ an
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 26,
=
lim
n→∞ an
∞ n +8
n!
lim
n→∞
n=26
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
0
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
Transcribed Image Text: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 ≥ 26, = lim n→∞ an ∞ n +8 n! lim n→∞ n=26 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 0 (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
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