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
![Examples not uniformly continuous functions| f(x)=sin(1/x) is not uniformly continuous on (0 1) - YouTube Examples not uniformly continuous functions| f(x)=sin(1/x) is not uniformly continuous on (0 1) - YouTube](https://i.ytimg.com/vi/gM9IuH9wL2Y/sddefault.jpg)
Examples not uniformly continuous functions| f(x)=sin(1/x) is not uniformly continuous on (0 1) - YouTube
LECTURE 28: UNIFORM CONTINUITY (II) Recall: f is uniformly continuous on S if: For all ϵ > 0 there is δ > 0 such that, f
![continuity - How to prove $\sin(\frac{1}{x-1})$ is not uniformly continuous? - Mathematics Stack Exchange continuity - How to prove $\sin(\frac{1}{x-1})$ is not uniformly continuous? - Mathematics Stack Exchange](https://i.stack.imgur.com/LMj6U.png)
continuity - How to prove $\sin(\frac{1}{x-1})$ is not uniformly continuous? - Mathematics Stack Exchange
![how to prove a function is not uniformly continuous।। 1/x is not uniformly continuous on (0,1)।। - YouTube how to prove a function is not uniformly continuous।। 1/x is not uniformly continuous on (0,1)।। - YouTube](https://i.ytimg.com/vi/yty81TYIod8/hqdefault.jpg)
how to prove a function is not uniformly continuous।। 1/x is not uniformly continuous on (0,1)।। - YouTube
![SOLVED: Which of these functions is NOT uniformly continuous on the given set? Fill in EXACTLY ONE circle: f (x) = sin(1/x) on (0.01,6) g(x,y,2) = exyz on (x,y,2) eR3 x2 +y2 + SOLVED: Which of these functions is NOT uniformly continuous on the given set? Fill in EXACTLY ONE circle: f (x) = sin(1/x) on (0.01,6) g(x,y,2) = exyz on (x,y,2) eR3 x2 +y2 +](https://cdn.numerade.com/ask_images/c222996fe9004ef6b732e0d4247bae78.jpg)
SOLVED: Which of these functions is NOT uniformly continuous on the given set? Fill in EXACTLY ONE circle: f (x) = sin(1/x) on (0.01,6) g(x,y,2) = exyz on (x,y,2) eR3 x2 +y2 +
![SOLVED: Which of the following functions is not uniformly continuous on (0, 1)? Select one: a 3 b. sin X 1, 0<x< 1 fkx) = 0' x=0 or X= ] d.x SOLVED: Which of the following functions is not uniformly continuous on (0, 1)? Select one: a 3 b. sin X 1, 0<x< 1 fkx) = 0' x=0 or X= ] d.x](https://cdn.numerade.com/ask_images/875c89e2d7cd4d2db91b192f540e04d3.jpg)
SOLVED: Which of the following functions is not uniformly continuous on (0, 1)? Select one: a 3 b. sin X 1, 0<x< 1 fkx) = 0' x=0 or X= ] d.x
![SOLVED: Prove that the function f I) 1/1 i8 not uniformnly continuous at (0, x). Prove it is uniformly continuous at [a, o] for every a € R: Prove that the function f ( SOLVED: Prove that the function f I) 1/1 i8 not uniformnly continuous at (0, x). Prove it is uniformly continuous at [a, o] for every a € R: Prove that the function f (](https://cdn.numerade.com/ask_images/0232dca2167c450c8353f662c3ef9447.jpg)
SOLVED: Prove that the function f I) 1/1 i8 not uniformnly continuous at (0, x). Prove it is uniformly continuous at [a, o] for every a € R: Prove that the function f (
![real analysis - prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly - Mathematics Stack Exchange real analysis - prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly - Mathematics Stack Exchange](https://i.stack.imgur.com/LVqX2.jpg)
real analysis - prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly - Mathematics Stack Exchange
![real analysis - prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly - Mathematics Stack Exchange real analysis - prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly - Mathematics Stack Exchange](https://i.stack.imgur.com/kNsdq.jpg)