Show that if (XN) is bounded sequences, then(XN)Converges if and only if lim sup (XN) = lim iNf (XN)

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Answered: Show that if (XN) is bounded sequences,…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Sequences And Series

Section8.1: Sequences And Summation Notation

Problem 1E: A sequence is a function whose domain is ____________.

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Show that if (XN) is bounded sequences, theN (XN) Converges if and only if lim sup (X₁) = lim iNf (XN).