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Exercise 5.2.1. [Used throughout.] Let [a,b] CR be a non-degenerate closed bounded interval, and let ɛ >0. Prove that there is a partition R of [a,b] such that ||R|| < e.

Exercise 5.2.1. [Used throughout.] Let [a,b] CR be a non-degenerate closed bounded interval, and let ɛ >0. Prove that there is a partition R of [a,b] such that ||R|| < e.

Advanced Engineering Mathematics
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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5.2.1

Please include a formal proof.

Exercise 5.2.1. [Used throughout.] Let [a,b] CR be a non-degenerate closed bounded interval, and let ɛ > 0. Prove that there is a partition R of [a,b] such that ||R|| < E.
Transcribed Image Text:Exercise 5.2.1. [Used throughout.] Let [a,b] CR be a non-degenerate closed bounded interval, and let ɛ > 0. Prove that there is a partition R of [a,b] such that ||R|| < E.
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