a) is f(x) = x3sin(1/x) uniformly continuous at (0,2] b) is g(x) = ln(x2+2) uniformly continuous at (-infinity, infinity) c) Decide if f(x) = x4sin(1/x3) is uniformly continuous at f : (0, infinity) --> R

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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a) is f(x) = x3sin(1/x) uniformly continuous at (0,2]

b) is g(x) = ln(x2+2) uniformly continuous at (-infinity, infinity)

c) Decide if f(x) = x4sin(1/x3) is uniformly continuous at f : (0, infinity) --> R 

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