10" converges or diverges. If the Ratio Test is inconclusive, determine the convergence or Use the Ratio Test to determine whether the series n! n=0 divergence of the series by some other means. E Keypa Keyboard Shorto an+1 O Diverges; lim an = 00 n00 an+1 O Converges; lim an = 0 n00 an+1 O Diverges; lim а, = 10 n00 An+1 O Inconclusive; lim = 1 but diverges by another test an n00 an+1 1 O Converges; lim an %3D 10 n00 an+1 O Inconclusive; lim = 1 but converges by another test

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Question
Use the Ratio Test to determine whether the series
10"
converges or diverges. If the Ratio Test is inconclusive, determine the convergence or
п!
n=0
divergence of the series by some other means.
в Кеурас
Keyboard Shortcu
an+1
O Diverges; lim
an
= 00
n00
an+1
O Converges; lim
an
= 0
n00
ant1
O Diverges; lim
an
= 10
n+00
O Inconclusive; lim
an+1
= 1 but diverges by another test
an
n00
an+1
1
O Converges; lim
an
10
n00
O Inconclusive; lim
an+1
= 1 but converges by another test
an
n00
Transcribed Image Text:Use the Ratio Test to determine whether the series 10" converges or diverges. If the Ratio Test is inconclusive, determine the convergence or п! n=0 divergence of the series by some other means. в Кеурас Keyboard Shortcu an+1 O Diverges; lim an = 00 n00 an+1 O Converges; lim an = 0 n00 ant1 O Diverges; lim an = 10 n+00 O Inconclusive; lim an+1 = 1 but diverges by another test an n00 an+1 1 O Converges; lim an 10 n00 O Inconclusive; lim an+1 = 1 but converges by another test an n00
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