Letf(x) be defined for all x>0 and be continuous. Let f(x) satisfy f =Ax)-fy) for all x, y and f(e) = 1. Then (a) f(x) is bounded %3D (b) f +0 as x0 (c) * f I as x0 (d) f(x) = In .x %3D

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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Letf(x) be defined for allx>0 and be continuous.
Let f(x) satisfy f==Ax)-Ay) for allx, y and
fe) = 1. Then
(a) f(x) is bounded
%3D
(b) f
+0 as x0
(c) *f
I as x0
(d) f(x) = In .x
%3D
Transcribed Image Text:Letf(x) be defined for allx>0 and be continuous. Let f(x) satisfy f==Ax)-Ay) for allx, y and fe) = 1. Then (a) f(x) is bounded %3D (b) f +0 as x0 (c) *f I as x0 (d) f(x) = In .x %3D
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