Is $x^3\sin\left(\frac{1}{x}\right)$ is uniformly continuous in (0,$\infty$)?
125024
Is this function uniformly continuous?
23617
Determine whether $f(x)={\sin x \over x}$ is uniformly continuous in $\mathbb R$
88259
prove that $\frac{1}{x}$ is not uniformly continuous on $(0,1)$
83966
Does $ \int_0^{\infty}\frac{\sin x}{x}dx $ have an improper Riemann integral or a Lebesgue integral?
80060
Is $\frac{1}{\infty}$  equal zero?
123918
Real Analysis, Existence of a Limit Boundedly:$|\int_0^b\frac{sin(ax)}{x}dx | \le c$
145335
Is $ \int_0^1{\frac{\sin x}{x}dx} $ convergent?
143695
Is an increasing, bounded and continuous function on $[a,+\infty)$ uniformly continuous?
89265
Proving that $x - \frac{x^3}{3!} 0$
132124
$\int_{0}^{\infty}\frac{x}{x^3+1}dx$ =?
155170
Proving $\sin(x^2)$ Continuous but Not Uniformly Continuous with non-standard Definition
45806
Finding $\lim\limits_{n \rightarrow \infty}\left(\int_0^1(f(x))^n\,\mathrm dx\right)^\frac{1}{n}$ for continuous $f:[0,1]\to[0,\infty)$
51247
$f$ be a continuous function maps Cauchy into Cauchy. Is $f$ uniformly continuous?
102918
Prove $\sin x$ is uniformly continuous on $\mathbb R$
155303
Does $\lim_{n\rightarrow\infty}\sin\left(\pi\sqrt[3]{n^{3}+1}\right)$ exist?
10898
Is an integral always continuous?
60559
How prove this $x^3<\sin^2{x}\tan{x},x\in\left(0,\dfrac{\pi}{2}\right)$