Show that if lim f(x) = lim h(x) = 3, and if f(x) ≤ g(x) ≤h(x) for 2-0 x-0 all z € (-1,1), then lim g(x) = 3. 2-0

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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Show that if lim f(x) = lim h(x) = 3, and if f(x) < g(x) < h(x) for
all x E (-1, 1), then lim g(x) = 3.
Transcribed Image Text:Show that if lim f(x) = lim h(x) = 3, and if f(x) < g(x) < h(x) for all x E (-1, 1), then lim g(x) = 3.
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