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LECTURE 28: UNIFORM CONTINUITY (II) Recall: f is uniformly continuous on S if: For all ϵ > 0 there is δ > 0 such that, f
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MAT544 Fall 2009 Homework 4 Problem 1 Determine lim x→0 f(x), limx→0 f(x) 1. f(x) = sin 2(1/x) + 2 arctg(1/x) 2. f(x) = ( 1
MATH 414 Assignment #2 1. Let IR be the Euclidean plane with the usual metric ρ. Determine whether the given set in IR is compa
![SOLVED: T+X (2) Using the definition of uniformly continuous function; prove that each of the following functions is uniformly continuous on the given set: 1 a) f(x) = +3 on [0, 2]. (](https://cdn.numerade.com/ask_images/50060ef14fa54e73a906a83dbe19749c.jpg "SOLVED: T+X (2) Using the definition of uniformly continuous function; prove that each of the following functions is uniformly continuous on the given set: 1 a) f(x) = +3 on [0, 2]. (")
SOLVED: T+X (2) Using the definition of uniformly continuous function; prove that each of the following functions is uniformly continuous on the given set: 1 a) f(x) = +3 on [0, 2]. (
![SOLVED: Determine whether O1 not the following functions are uniformly continuous f(x) = l/x on (0 f(z) = xsin(1/x) for x F 0 and f(0) = 0 on [ T,]: ( ) =](https://cdn.numerade.com/ask_images/27bdae2a99c74e73adaf2c7e73c161a2.jpg "SOLVED: Determine whether O1 not the following functions are uniformly continuous f(x) = l/x on (0 f(z) = xsin(1/x) for x F 0 and f(0) = 0 on [ T,]: ( ) =")
SOLVED: Determine whether O1 not the following functions are uniformly continuous f(x) = l/x on (0 f(z) = xsin(1/x) for x F 0 and f(0) = 0 on [ T,]: ( ) =
