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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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