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Question 2.7. Show that the following sequence is convergent. (ii). a₁ = 0.1, a2 = 0.12,...,a10 = 0, 12345678910, a11 = 0.1234567891011,... NOTES Definition (Convergence and divergence). We say that a sequence {a} is convergent, if there is LЄ R with the following property: For each > 0, there is N = N(ε) Є N such that |an L for all n > N.

Question 2.7. Show that the following sequence is convergent. (ii). a₁ = 0.1, a2 = 0.12,...,a10 = 0, 12345678910, a11 = 0.1234567891011,... NOTES Definition (Convergence and divergence). We say that a sequence {a} is convergent, if there is LЄ R with the following property: For each > 0, there is N = N(ε) Є N such that |an L for all n > N.

Algebra & Trigonometry with Analytic Geometry
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 72E
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Question 2.7. Show that the following sequence is convergent. (ii). a₁ = 0.1, a2 = 0.12,...,a10 = 0, 12345678910, a11 = 0.1234567891011,... NOTES Definition (Convergence and divergence). We say that a sequence {a} is convergent, if there is LЄ R with the following property: For each > 0, there is N = N(ε) Є N such that |an L for all n > N.
Transcribed Image Text:Question 2.7. Show that the following sequence is convergent. (ii). a₁ = 0.1, a2 = 0.12,...,a10 = 0, 12345678910, a11 = 0.1234567891011,... NOTES Definition (Convergence and divergence). We say that a sequence {a} is convergent, if there is LЄ R with the following property: For each > 0, there is N = N(ε) Є N such that |an L for all n > N.
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