"A sequence (an) converges to a if, for every € > 0, there exists an no Є N such that for all n > no, |an - a| < €." Task Statement: "Show that the sequence an = √n+1 is a null sequence using the Epsilon Criterion, which is stated as follows."
"A sequence (an) converges to a if, for every € > 0, there exists an no Є N such that for all n > no, |an - a| < €." Task Statement: "Show that the sequence an = √n+1 is a null sequence using the Epsilon Criterion, which is stated as follows."
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 45E
Question
Transcribed Image Text:"A sequence (an) converges to a if, for every € > 0, there exists an no Є N such that for all n > no,
|an - a| < €."
Task Statement:
"Show that the sequence an = √n+1 is a null sequence using the Epsilon Criterion, which is stated
as follows."
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