In this exercise, we prove that exist and are equal if is increasing (the case of

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In this exercise, we prove that lim Ry and lim Ly N N0 N0 exist and are equal if ƒ is increasing (the case of ƒ decreasing is similar). We use the concept of a least upper bound discussed in Appendix B.

(a) Explain with a graph why Ly  RM for all N, M 1. (b) By (a), the sequence (Lv) is bounded, so it has a

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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