Let an 20 for all n and suppose Σan converges. Prove that√anΣΥnconverges.Hints: One way to do this is to consider the inequality (√an-1)² ≥ 0.

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Answered: Let an 20 for all n and suppose Σan…

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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Let an 20 for all n and suppose Σan converges. Prove that √an ΣΥ n converges. Hints: One way to do this is to consider the inequality (√an-1)² ≥ 0.