Theorem 10 Let (a, b] c R and f: [a, b] → R be a function of bounded variation on [a, b]. Then f is bounded on [a, b).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...
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Let [a, b] C R and f: [a, b]
Theorem 10.
bounded variation on (a, b]. Then f is bounded on (a, b).
→ R be a function of
Transcribed Image Text:Let [a, b] C R and f: [a, b] Theorem 10. bounded variation on (a, b]. Then f is bounded on (a, b). → R be a function of
Let [a, b] C R and f: [a, b]
Theorem 10.
bounded variation on (a, b]. Then f is bounded on (a, b).
→ R be a function of
Transcribed Image Text:Let [a, b] C R and f: [a, b] Theorem 10. bounded variation on (a, b]. Then f is bounded on (a, b). → R be a function of
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