Consider the three infinite series below. (1) Σ+11 Sn N=1 (a) Which of these series is (are) altemating? b) Which one of these series diverges, and why? (n+1)(,21) 4n³-2n+1 iM8 *5(-4) +2 32n+1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the three infinite series below.
• (-1)-1
(n+1) (, 1)
(11)
Sn
4n³-2n +1
#=1
#=1
(a) Which of these series is (are) altemating?
(b) Which one of these series diverges, and why?
(c) One of these series converges absolutely. Which one? Compute its sum.
n=1
5(-4)"+2
32n+1
Transcribed Image Text:Consider the three infinite series below. • (-1)-1 (n+1) (, 1) (11) Sn 4n³-2n +1 #=1 #=1 (a) Which of these series is (are) altemating? (b) Which one of these series diverges, and why? (c) One of these series converges absolutely. Which one? Compute its sum. n=1 5(-4)"+2 32n+1
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