If ∑x_n and ∑y_n are convergent, show that ∑(x_n + y_n) is convergent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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If ∑x_n and ∑y_n are convergent, show that ∑(x_n + y_n) is convergent.

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