00 n8" Use the ratio test to determine whether>. converges or diverges. (n + 1)! n=7 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n 2 7, аn+1 lim lim an (b) Evaluate the limit in the previous part. Enter o as infinity and -o as -infinity. If the limit does not exist, enter DNE. аn+1 lim n→∞ 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
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 47E
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Question
n8"
Use the ratio test to determine whether
converges or diverges.
(п + 1)!
n=7
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For
n 2 7,
an+1
lim
lim
n→00
an
(b) Evaluate the limit in the previous part. Enter o as infinity and -o as -infinity. If the limit
does not exist, enter DNE.
аn+1
lim
an
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive?
Choose
Transcribed Image Text:n8" Use the ratio test to determine whether converges or diverges. (п + 1)! n=7 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n 2 7, an+1 lim lim n→00 an (b) Evaluate the limit in the previous part. Enter o as infinity and -o as -infinity. If the limit does not exist, enter DNE. аn+1 lim an (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
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