Suppose that ƒ is continuous and F(x) = g> 0, g'>0 and integrable on [a, b) and that lim g(x) = I-b- 1 lim g(2) f(t)g(1) dt = 0, r>1. f(t) dt is bounded on [a,b). Moreover, we let = ∞o. Show that

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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Suppose that ƒ is continuous and F(x) =
g> 0, g'>0 and integrable on [a, b) and that lim g(x) =
I-b-
1
lim
g(2) f(t)g(1) dt = 0, r>1.
f(t) dt is bounded on [a,b). Moreover, we let
= ∞o. Show that
Transcribed Image Text:Suppose that ƒ is continuous and F(x) = g> 0, g'>0 and integrable on [a, b) and that lim g(x) = I-b- 1 lim g(2) f(t)g(1) dt = 0, r>1. f(t) dt is bounded on [a,b). Moreover, we let = ∞o. Show that
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