4. (10 points) Let J be defined on the interval [a,∞). Prove or disprove that If J" (a) > 0 for all a E (a,∞) and lim J'ex 1 818 J(x) I = 1, then lim J'(x) = 1. 818 ling lim J(x+h)-JLx/ 170x700 h

College Algebra
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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. (10 points) Let J be defined on the interval [a,∞).
Prove or disprove that If J" (a) > 0 for all a E (a,∞) and lim
J'ex 1
818
J(x)
I
=
1, then lim J'(x) = 1.
818
ling lim J(x+h)-JLx/
170x700
h
Transcribed Image Text:4. (10 points) Let J be defined on the interval [a,∞). Prove or disprove that If J" (a) > 0 for all a E (a,∞) and lim J'ex 1 818 J(x) I = 1, then lim J'(x) = 1. 818 ling lim J(x+h)-JLx/ 170x700 h
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