n? +6 00 the ratio test to determine whether >. converges or diverges. 6" n=14

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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se the ratio test to determine whether " +6
converges or diverges.
6"
n=14
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n 2 14,
an+1
= lim
lim
an
n00
n00
(b) Evaluate the limit in the previous part. Enter co as infinity and -0o as -infinity. If the limit does not exist, enter DNE.
an+1
lim
n00
an
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
Transcribed Image Text:se the ratio test to determine whether " +6 converges or diverges. 6" n=14 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n 2 14, an+1 = lim lim an n00 n00 (b) Evaluate the limit in the previous part. Enter co as infinity and -0o as -infinity. If the limit does not exist, enter DNE. an+1 lim n00 an (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
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