suppose San and Ση are series with positive terms and bn is known to be divergent. n (a) If an> bn for all n, what can you say about an? Why? a diverges by the Comparison Test. O We cannot say anything about an Ο Σ a converges if and only if n n.an z bn a converges if and only if 2a, ² b > a converges by the Comparison Test. (b) If an < b for all n, what can you say about an? Why? b Ο Σan converges if and only if an S n 4 a converges by the Comparison Test. a diverges by the Comparison Test. Ο We cannot say anything about San b O a converges if and only if an n

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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suppose San and Ση are series with positive terms and bn is known to be divergent.
(a) If an> b for all n, what can you say about an? Why?
n
a diverges by the Comparison Test.
O We cannot say anything about an
Ο Σ a converges if and only if
n
n.an
z bn.
a converges if and only if 2a, 2b.
a converges by the Comparison Test.
(b) If an < b for all n, what can you say about an? Why?
b.
Ο Σan converges if and only if an
n
4
a converges by the Comparison Test.
a diverges by the Comparison Test.
Ο We cannot say anything about San
b
O
a converges if and only if an
n
Transcribed Image Text:suppose San and Ση are series with positive terms and bn is known to be divergent. (a) If an> b for all n, what can you say about an? Why? n a diverges by the Comparison Test. O We cannot say anything about an Ο Σ a converges if and only if n n.an z bn. a converges if and only if 2a, 2b. a converges by the Comparison Test. (b) If an < b for all n, what can you say about an? Why? b. Ο Σan converges if and only if an n 4 a converges by the Comparison Test. a diverges by the Comparison Test. Ο We cannot say anything about San b O a converges if and only if an n
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