Question 2.7. Show that the following sequence is : convergent. (ii). a₁ = = 0.1, a2 = 0.12,...,a10 = 0, 12345678910, a11 = 0.1234567891011,... NOTES =1 Definition (Convergence and divergence). We say that a sequence {a} is convergent, if there is L ER 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 =1 Definition (Convergence and divergence). We say that a sequence {a} is convergent, if there is L ER 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

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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