Using the definition of limit (so, without using Arithmetic of Limits), show that i. lim n →∞ (4 + n ) / 2 n  = 1/2 ii. lim n →∞ 2/n + 3/(n+1) = 0

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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Using the definition of limit (so, without using Arithmetic of Limits), show that
i. lim n →∞ (4 + n ) / 2 n  = 1/2
ii. lim n →∞ 2/n + 3/(n+1) = 0

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