Is $\sin(5x)$ uniformly continuous?
102918
Prove $\sin x$ is uniformly continuous on $\mathbb R$
88640
Is $\sqrt x$ continuous at $0$? Because it is not defined to the left of $0$
131060
Is $\sqrt{x}$ uniformly continuous in $\mathbb{R}^+$?
36227
Show continuity or uniform continuity of $\phi: (C([0,1];\Bbb R ),||\cdot||_\infty )\to (\Bbb R, |\cdot | )$
141423
The continuity of $f(x,y) = \frac {\sin (xy)} {\sqrt {x^2 + y^2}}$ at $(0,0)$
90152
Continuous with compact support implies uniform continuity
94425
What is $\sup(\sin(n))$?
99179
Continuous function with compact domain has continuous inverse
57180
Techniques to prove a function is uniformly continuous
101701
Prove that $\ln x$ is not uniformly continuous on $(0,1]$
4220
Does $\int_{0}^{\infty}\frac{dx}{1+(x\sin5x)^2}$ converge?
55749
Compactly supported continuous function is uniformly continuous
44647
Does pointwise convergence of continuous functions on a compact set to a continuous limit imply uniform convergence on that set?
125723
Proof of $Y=F_X(X)$ being uniformly distributed on $[0,1]$ for arbitrary continuous $F_X$
86860
Continuity of differentiable function $x^2\sin(1/x)$
33488
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
125745
continuity of power series