Show directly from definitions that if f(x) and g(x) are real func- tions, bounded on [0,1], and so that lim f(x) = 2 and lim g(x) 3, then 2-04 lim f(x) g(x) = 6. 2-40+ -

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 directly from definitions that if f(x) and g(x) are real func-
tions, bounded on [0, 1], and so that lim f(x) = 2 and lim g(x) 3, then
=
x→0+
x+0+
lim f(x) g(x) = 6.
x→0+
Transcribed Image Text:Show directly from definitions that if f(x) and g(x) are real func- tions, bounded on [0, 1], and so that lim f(x) = 2 and lim g(x) 3, then = x→0+ x+0+ lim f(x) g(x) = 6. x→0+
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