Uniform continuity of $f(x)=x + \frac{x}{x+1}$ using definition
129856
Show that $f(x)=\frac{x}{1+|x|}$ is uniformly continuous.
23617
Determine whether $f(x)={\sin x \over x}$ is uniformly continuous in $\mathbb R$
94244
$\sin \frac{1}{x}$ is not uniformly continuous on $[1, \infty]$
19916
$f(x)=f(x^2+ 1/4)$ , $f$ is continuous from $\mathbb{R}$ to $\mathbb{R}$
111485
Let $f(x)$ be continuous on [$0,1$] to $f(x)=0$ for each $x\in[0,1]$
12997
Is a Cauchy sequence - preserving (continuous) function is (uniformly) continuous?
3518
Proving $f(x)=1/x$ on $(0,1 )$ is not uniformly continuous
106060
If $f$ is continuous and with a limit at infinity then $f$ is uniformly continuous
127114
Differentiability implying continuity
127538
Show $f(x)=x\ln x$ is not uniformly continuous
113086
Prove or disprove that $f(x) = \sin x/x$ is uniformly continuous over the interval $(0,1)$?
1986
Show $1/(1+ x^2)$ is uniformly continuous on $\Bbb R$.
98772
Continuity of a function in $\mathbb{R}$
80643
Show that f(x) defined on [0,infinity) R to is continuous at 0.
56567
Prove or disprove the uniform continuity of $f: \mathbb{C} \to \mathbb{C}, z \mapsto f(z)=\frac{z^2}{1+|z|}$
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
97553
Continuity of $\frac{2xy}{x^2+y^2}$ at $(0,0)$