uniformly continuous versus continuous
135092
How exactly can't $\delta$ depend on $x$ in the definition of uniform continuity?
36166
Uniform continuity on (0,1) implies boundedness
127449
Uniform continuous of $f(x,y) = \sin(x^2+y)$
113086
Prove or disprove that $f(x) = \sin x/x$ is uniformly continuous over the interval $(0,1)$?
123972
Proving that every function defined on a discrete metric space is uniformly continuous.
124779
Intuition for uniform continuity of a function on $\mathbb{R}$
4062
prove that $f(x)=\log(1+x^2)$ is Uniform continuous with $\epsilon ,\delta$ ...
117419
Why is $e^{x}$ not uniformly continuous on $\mathbb{R}$?
3518
Proving $f(x)=1/x$ on $(0,1 )$ is not uniformly continuous
57180
Techniques to prove a function is uniformly continuous
45581
Is the distance function in a metric space (uniformly) continuous?
158567
A uniform continuous function which is not Hölder continuous
59519
What about the continuity of these functions in the uniform topology?
9614
How does the existence of a limit imply that a function is uniformly continuous
90152
Continuous with compact support implies uniform continuity
143695
Is an increasing, bounded and continuous function on $[a,+\infty)$ uniformly continuous?
106060
If $f$ is continuous and with a limit at infinity then $f$ is uniformly continuous