Let f : [a, b] → R be a function of bounded variation Theorem 10 on [a, b]. If there exists a positive real number k such that 0 < k < f(x) For all x E [a, b], then 1/f is a function of bounded variation on [a, b] and

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 61E
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Let f : [a, b] → R be a function of bounded variation
on [a, b]. If there exists a positive real number k such that 0 < k < f (x)
for all x € [a, b}, then 1/f is a function of bounded variation on [a, b] and
Theorem 10
た2
Transcribed Image Text:Let f : [a, b] → R be a function of bounded variation on [a, b]. If there exists a positive real number k such that 0 < k < f (x) for all x € [a, b}, then 1/f is a function of bounded variation on [a, b] and Theorem 10 た2
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