5n — 2п 38. E n=2 п+1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 17EQ
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I need some assistance with problem #38, please?

8.4: 38
38-39 Let
lim a, = L
n00
The Root Test says the following:
(i) If L < 1, then E a, is absolutely convergent.
(ii) If L > 1 (or L
(iii) If L = 1, then the Root Test is inconclusive.
00), then E a, is divergent.
5n
-2n
(Like the Ratio Test, the Root Test is proved by comparison with a
geometric series.) Determine whether the given series is absolutely
38. 2
n=2
n + 1
convergent.
Transcribed Image Text:8.4: 38 38-39 Let lim a, = L n00 The Root Test says the following: (i) If L < 1, then E a, is absolutely convergent. (ii) If L > 1 (or L (iii) If L = 1, then the Root Test is inconclusive. 00), then E a, is divergent. 5n -2n (Like the Ratio Test, the Root Test is proved by comparison with a geometric series.) Determine whether the given series is absolutely 38. 2 n=2 n + 1 convergent.
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