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Let (n) be a boul sequence of real (that is, each entry rn is ≥ 1/10), and (sn) be a sequence of real numbers with lim sn= ∞. Working directly from the definitions, show that also 11-00 lim rn Sn = ∞0. 71-00

Let (n) be a boul sequence of real (that is, each entry rn is ≥ 1/10), and (sn) be a sequence of real numbers with lim sn= ∞. Working directly from the definitions, show that also 11-00 lim rn Sn = ∞0. 71-00

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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3. Let (rn) be a bounded sequence of real numbers from [1/10, ∞) (that is, each entry rn is ≥ 1/10), and (sn) be a sequence of real numbers with lim Sn = ∞0. Working directly from the definitions, show that also n+∞ lim rn Sn = ∞0. 71-00
Transcribed Image Text:3. Let (rn) be a bounded sequence of real numbers from [1/10, ∞) (that is, each entry rn is ≥ 1/10), and (sn) be a sequence of real numbers with lim Sn = ∞0. Working directly from the definitions, show that also n+∞ lim rn Sn = ∞0. 71-00
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