(P18, Page 33) (The convergence of Cesaro Averages.) Suppose that the sequence {a„} converges to a. Define the sequence {o„} by a1 + a2 +...+ an for every index n. Prove that the sequence {o„} also converges to a. (Hint: use the e-N approach)
(P18, Page 33) (The convergence of Cesaro Averages.) Suppose that the sequence {a„} converges to a. Define the sequence {o„} by a1 + a2 +...+ an for every index n. Prove that the sequence {o„} also converges to a. (Hint: use the e-N approach)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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