Question: In this exercise, we prove that exist and are equal if is increasing (the case of decreasing is similar). We use the concept

In this exercise, we prove that 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

lim Ry and lim Ly N N0 N0

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