3" converges or diverges. If the Ratio Test is inconclusive, determine the convergence o Use the Ratio Test to determine whether the series divergence of the series by some other means. Ke Keyboard Sh an+1 Diverges; lim An = 00 An+1 = 3 Diverges; lim n00 an an+1 = 1 but converges by another test а, Inconclusive; lim n00 ant

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Use the Ratio Test to determine whether the series
3"
converges or diverges. If the Ratio Test is inconclusive, determine the convergence or
п!
n=0
divergence of the series by some other means.
画 Keyp.
Keyboard Short
an+1
O Diverges; lim
an
= 00
n00
an+1
O Diverges; lim
an
= 3
n00
an+1
O Inconclusive; lim
= 1 but converges by another test
an
n00
an+1
O Inconclusive; lim
= 1 but diverges by another test
an
n00
1
an+1
O Converges; lim
an
n00
an+1
O Converges; lim
an
= 0
n00
Transcribed Image Text:Use the Ratio Test to determine whether the series 3" converges or diverges. If the Ratio Test is inconclusive, determine the convergence or п! n=0 divergence of the series by some other means. 画 Keyp. Keyboard Short an+1 O Diverges; lim an = 00 n00 an+1 O Diverges; lim an = 3 n00 an+1 O Inconclusive; lim = 1 but converges by another test an n00 an+1 O Inconclusive; lim = 1 but diverges by another test an n00 1 an+1 O Converges; lim an n00 an+1 O Converges; lim an = 0 n00
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