∞ Use the ratio test to determine whether n=23 n6n (n + 2)! converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 23, lim n→X An+1 An = lim nx (b) Evaluate the limit in the previous part. Enter ∞ as infinity and - as -infinity. If the limit does not exist, enter DNE. lim n→X 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
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 71E
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2.8

∞
Use the ratio test to determine whether
n=23
n6n
(n + 2)!
converges or diverges.
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 23,
lim
n→X
An+1
An
=
lim
nx
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and - as -infinity. If the limit does not exist,
enter DNE.
lim
n→X
An+1
An
(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 n=23 n6n (n + 2)! converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 23, lim n→X An+1 An = lim nx (b) Evaluate the limit in the previous part. Enter ∞ as infinity and - as -infinity. If the limit does not exist, enter DNE. lim n→X An+1 An (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
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