7.Analyse critically each of the statements below and state which is not true.I: Convergence of a sequence a, in R guarantees boundedness of an, but boundedness of a,does not always guarantee convergence of a.II: If a, is a sequence in R such that a, –→ a then lim, - sup a, = lim,- inf a, = a.III: Let a, be a sequence of real numbers and let a, be a subsequence of an. Theninf (sup a,) = lim, - Ank :A. I and II onlyВ. П onlyС. Ш onlyD. I,II and IIIE. None of the above.

Name: 7.Analyse critically each of the statements below and state which is
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Description: 7.Analyse critically each of the statements below and state which is not true.I: Convergence of a sequence a, in R guarantees boundedness of an, but boundedness of a,does not always guarantee convergence of a.II: If a, is a sequence in R such that a

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7. Analyse critically each of the statements below and state which is not true. I: Convergence of a sequence a, in R guarantees boundedness of an, but boundedness of a, does not always guarantee convergence of a. II: If an is a sequence in R such that a, - a then lim, - sup a, = lim,-o in f an = a. II: Let a, be a sequence of real numbers and let an, be a subsequence of a, - Then inf(sup a,) = lim, -- Ang : A. I and II only B. II only C. III only

7. Analyse critically each of the statements below and state which is not true. I: Convergence of a sequence a, in R guarantees boundedness of an, but boundedness of a, does not always guarantee convergence of a. II: If an is a sequence in R such that a, - a then lim, - sup a, = lim,-o in f an = a. II: Let a, be a sequence of real numbers and let an, be a subsequence of a, - Then inf(sup a,) = lim, -- Ang : A. I and II only B. II only C. III only

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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