5n Use the Root Test to determine whether the series E( ) converges or diverges. If the Root Test is inconclusive, determine the \n² + 6 convergence or divergence of the series by some other means. Keyboar 5 O Diverges; lim vān = 5. n00 Converges; lim yan %3D n00 Inconclusive; lim ya, = 1 but converges by another test n00 Inconclusive; lim van = 1 but diverges by another test n00 Diverges; lim vā, = 00 n00 Converges; lim yan = 0 n00

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section: Chapter Questions
Problem 6CC
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Question
5n
Use the Root Test to determine whether the series E( )
n² + 6
converges or diverges. If the Root Test is inconclusive, determine the
n=1
convergence or divergence of the series by some other means.
Keyboar
5
O Diverges; lim yan
n-00
5
Converges; lim yan
n+00
Inconclusive; lim yan = 1 but converges by another test
n-00
Inconclusive; lim yan
1 but diverges by another test
n-00
Diverges; lim Van
= 00
n-00
Converges; lim yan = 0
n00
Transcribed Image Text:5n Use the Root Test to determine whether the series E( ) n² + 6 converges or diverges. If the Root Test is inconclusive, determine the n=1 convergence or divergence of the series by some other means. Keyboar 5 O Diverges; lim yan n-00 5 Converges; lim yan n+00 Inconclusive; lim yan = 1 but converges by another test n-00 Inconclusive; lim yan 1 but diverges by another test n-00 Diverges; lim Van = 00 n-00 Converges; lim yan = 0 n00
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