Answered: Theorem 19 (Cauchy's Convergence) A…

Theorem 19 (Cauchy's Convergence) A series E-1 Xn converges if and only if Ve > 0, 3N eN such that |Xn + Xn+1 + . + Xml <€ if m 2 n2 N Proof (=) (H.w.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 22RE

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Question

و تعديل
Theorem 19 (Cauchy's Convergence)
A series En=1 Xn converges if and only if Ve > 0, 3N EN such that
|Xn + xn+1+ ·+ xm] < e if m 2 n 2 N
Proof
(=) (H.w.)
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