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Let f : [a,b] → R be monotone increasing. Prove: f is continuous at a if and only if f(a) = inf {f(x) : x = (a, b]}

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Let f : [a,b] → R be monotone increasing. Prove: f is continuous at a if and only if
f(a) = inf {f(x) : x = (a, b]}

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