Is $\frac{\sin x}{x}$ uniformly continuous on real line
23617
Determine whether $f(x)={\sin x \over x}$ is uniformly continuous in $\mathbb R$
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
51514
Is $n \sin n$ dense on the real line?
155822
Does uniform convergence preserves absolute continuity?
75735
Let $f$ be a continuous function on an interval around $0$ and let $a_i=f(\frac{1}{i})$ (for large enough $i$)
4062
prove that $f(x)=\log(1+x^2)$ is Uniform continuous with $\epsilon ,\delta$ ...
129073
If $f'$ is bounded, then $f$ is uniformly continuous
54769
Distribution of sine of uniform random variable on $[0, 2\pi]$
132946
Continuous and bounded imply uniform continuity?
36741
Anti-derivative of continuous function $\frac{1}{2+\sin x}$
57014
Existence of a power series converging non-uniformly to a continuous function
23294
Show that the function $f = \frac{xy}{x^2 + y^2}$ is continuous along every horizontal and every vertical line
13104
What is $\lim_{x \to \infty} \frac{\sin x}{\sin x}?$
81223
Real Analysis Question: continuity of $f(x) = \sum_{q_n<x} 1/n^2$
128911
Continuous extension of a real function
33488
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?