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

Section: Chapter Questions

Problem 1RQ

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