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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 =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. -

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.2: Sequences, Series And Summation Notation
Problem 40E: Find the sum of the first five terms of the sequence with the given general term. an=2n+1
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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 =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. -
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 =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. -
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