(4) Let fbe a function with domain R, and such that f(x) 6= 0 for all x ER. lim f(r) = 0, ,then 1 lim 1+7 f(r) = 0. Prove that if (Write a proof directly from the definitions of these limits. Do not use any Limit Laws.)

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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(4) Let fbe a function with domain R, and such that f(x) 6= 0 for all x ER.
lim f(r) = 0,
,then
1
lim
1+7 f(r)
= 0.
Prove that if
(Write a proof directly from the definitions of these limits. Do not use any Limit Laws.)
Transcribed Image Text:(4) Let fbe a function with domain R, and such that f(x) 6= 0 for all x ER. lim f(r) = 0, ,then 1 lim 1+7 f(r) = 0. Prove that if (Write a proof directly from the definitions of these limits. Do not use any Limit Laws.)
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