Let f be a function defined on a domain ACR and lim f(x) = L for some limit point x→c CЄ A. Prove, by verifying the e- definition, that lim kf(x) = kL for all k Є R. x-c

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 be a function defined on a domain ACR and lim f(x) = L for some limit point
x→c
CЄ A. Prove, by verifying the e- definition, that lim kf(x) = kL for all k Є R.
x-c
Transcribed Image Text:Let f be a function defined on a domain ACR and lim f(x) = L for some limit point x→c CЄ A. Prove, by verifying the e- definition, that lim kf(x) = kL for all k Є R. x-c
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