limit at infinity quotient by x privided given function uniformly continuous
47419
Asymptotics of uniformly continuous functions over $\mathbb R$
44647
Does pointwise convergence of continuous functions on a compact set to a continuous limit imply uniform convergence on that set?
20404
Prove that $f$ continuous and $\int_a^\infty |f(x)|\;dx$ finite imply $\lim\limits_{ x \to \infty } f(x)=0$
110458
Show that if $f$ is continuous on $(0,1)$ and $\lim_{x \to 0}f(x) = + \infty$ then $f$ is not uniformly continuous
23617
Determine whether $f(x)={\sin x \over x}$ is uniformly continuous in $\mathbb R$
113740
Find a uniformly continuous function such that $a_{n+1}=f(a_n)$
102076
Sequence of monotone functions converging to a continuous limit, is the convergence uniform?
152105
When is $x^{\alpha}\sin(x^{\beta})$ uniformly continuous for $\alpha, \beta > 0$?
44607
Prove that a continuous function on a closed interval attains a maximum
131060
Is $\sqrt{x}$ uniformly continuous in $\mathbb{R}^+$?
1986
Show $1/(1+ x^2)$ is uniformly continuous on $\Bbb R$.
102918
Prove $\sin x$ is uniformly continuous on $\mathbb R$
71140
Pointwise limit of the sequence of continuously differentiable functions defined inductively.
60070
Unique uniformly continuous function into complete space
113871
Prove $f(x) = \sqrt x$ is uniformly continuous on $[0,\infty)$
29213
Limit of 1/x as x approaches infinity
83494
Uniform continuity of $\ln(x)$