Is the function $f(x) = e^x \cos (1/x)$ is uniformly continuous on $A = (0,1)$.
131866
Determine whether the function $f(x) = e^x \cos (1/x)$ is uniformly continuous on $A = (0,1)$.
40297
Proof of uniform limit of Continuous Functions
3856
Uniform Continuity of $x \sin x$
86860
Continuity of differentiable function $x^2\sin(1/x)$
9614
How does the existence of a limit imply that a function is uniformly continuous
158888
Prove that the function $f(x)=\frac{x}{x^2+1}$ is continuous at $x=-1$.
113871
Prove $f(x) = \sqrt x$ is uniformly continuous on $[0,\infty)$
21954
A question about $f(x)\equiv 0$
75735
Let $f$ be a continuous function on an interval around $0$ and let $a_i=f(\frac{1}{i})$ (for large enough $i$)
127538
Show $f(x)=x\ln x$ is not uniformly continuous
52380
How to prove the function $e^x$ is continous for all real numbers
25010
Argue that there exists a continuous function $g: \mathbb{R} \rightarrow \mathbb{R}$ which satisfies $g(x) = \frac{1-e^{-2x^2}}{x^2}$ for $x \neq 0$
106060
If $f$ is continuous and with a limit at infinity then $f$ is uniformly continuous
129856
Show that $f(x)=\frac{x}{1+|x|}$ is uniformly continuous.
110458
Show that if $f$ is continuous on $(0,1)$ and $\lim_{x \to 0}f(x) = + \infty$ then $f$ is not uniformly continuous
59519
What about the continuity of these functions in the uniform topology?
158567
A uniform continuous function which is not Hölder continuous