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(-2)+1 1+3"

(-2)+1 1+3"

Advanced Engineering Mathematics
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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Part 4,5 and 6 if possible please!
4. 5. 6. (-2)+¹ m=11+3m π Σ(-1) cod) n=1 n=1 a. 2 (-1)" (2n)! Use the AST to show this series conver
Transcribed Image Text:4. 5. 6. (-2)+¹ m=11+3m π Σ(-1) cod) n=1 n=1 a. 2 (-1)" (2n)! Use the AST to show this series conver
Determine whether the following series converge or diverge. You must show that the series satisfies the necessary conditions in order to use the AST. Show that lima, = 0 using good limit analysis. If these k-00 conditions aren't satisfied, you'll have to use a different test. 1. (-1)"-¹ 2n+1 1 4 Alternating Series Test (AST) If the numbers ak satisfy the three conditions: a> 0 for all k (each az is positive) • ak> ak+1 ({at} is monotonically decreasing) • lim ax = 0 k→∞0 00 then the alternating series (-1) a converges. k=0
Transcribed Image Text:Determine whether the following series converge or diverge. You must show that the series satisfies the necessary conditions in order to use the AST. Show that lima, = 0 using good limit analysis. If these k-00 conditions aren't satisfied, you'll have to use a different test. 1. (-1)"-¹ 2n+1 1 4 Alternating Series Test (AST) If the numbers ak satisfy the three conditions: a> 0 for all k (each az is positive) • ak> ak+1 ({at} is monotonically decreasing) • lim ax = 0 k→∞0 00 then the alternating series (-1) a converges. k=0
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