For what value of $n \in \Bbb N$ the function $f(x)=x^n$ is uniformly continuous in all of the set $\Bbb R$
74145
How to prove $x^{n}$ is not uniformly continuous
59519
What about the continuity of these functions in the uniform topology?
98242
Integral inequality in $\Bbb R^n$
54403
Given $f : \Bbb{R} \to \Bbb{R}$ is a continuous function. To prove that $\int_{0}^{1}f(x)x^2 dx = \frac{f(c)}{3}$ for some $c \in [0,1]$
55605
If $f_n(x_n) \to f(x)$ whenever $x_n \to x$, show that $f$ is continuous
65346
Characterisation of uniformly continuous function
158344
Uniform continuous maps that converge uniformly to a function f. What can we say about f?
155923
continuity of $f(x,y)$ in $\mathbb R^2$.
118362
Determine whether $f_n(x)=\frac{x^n}{\sqrt{3n}}$ for $x \in [0,1]$ is uniformly convergent
102315
difference of uniform continuity and continuity of map
126212
Proving uniform continuity on an interval
141223
$f(x^2) = 2f(x)$ and $f(x)$ continuous
4062
prove that $f(x)=\log(1+x^2)$ is Uniform continuous with $\epsilon ,\delta$ ...
129856
Show that $f(x)=\frac{x}{1+|x|}$ is uniformly continuous.
131866
Determine whether the function $f(x) = e^x \cos (1/x)$ is uniformly continuous on $A = (0,1)$.
1986
Show $1/(1+ x^2)$ is uniformly continuous on $\Bbb R$.
113086
Prove or disprove that $f(x) = \sin x/x$ is uniformly continuous over the interval $(0,1)$?