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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 23RE
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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.
Transcribed Image Text: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.
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