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 ≥ 29, 5 = lim nx lim n-x an n=29 2 n5n (n + 2)! 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? Converges
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 ≥ 29, 5 = lim nx lim n-x an n=29 2 n5n (n + 2)! 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? 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
Related questions
Question
![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 ≥ 29,
lim
N→∞
-
n=29
lim
n→∞
=
n5n
(n + 2)!
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F211bf5b4-8a24-4f23-93fe-a883011cfa7e%2F748e0d4b-d703-408b-a7c6-8a344aa2dd52%2Fn5uddgg_processed.jpeg&w=3840&q=75)
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 ≥ 29,
lim
N→∞
-
n=29
lim
n→∞
=
n5n
(n + 2)!
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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