Suppose that (an) and (bn) are two convergent sequences, with an →A and bn → B as n→ ∞. Prove that the sequence (an+bn) converges to A+B as n → ∞.
Suppose that (an) and (bn) are two convergent sequences, with an →A and bn → B as n→ ∞. Prove that the sequence (an+bn) converges to A+B as n → ∞.
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 74E
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