Prove that sinx/x uniformly continuous at x [1; infinity) by using epsilon delta
23617
Determine whether $f(x)={\sin x \over x}$ is uniformly continuous in $\mathbb R$
118138
$\epsilon - \delta$ proof that $\lim_{x \to a} \sqrt x = \sqrt a$
65346
Characterisation of uniformly continuous function
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
19167
Show that $X_{n}\sim N(\sin(\pi n),1)$ is uniformly tight
20404
Prove that $f$ continuous and $\int_a^\infty |f(x)|\;dx$ finite imply $\lim\limits_{ x \to \infty } f(x)=0$
156736
Prove that $\lim _{x \to \infty} x\sin x$ doesn't exist (using delta epsilon).
85623
Proof of continuity implied by differentiability
135092
How exactly can't $\delta$ depend on $x$ in the definition of uniform continuity?
1986
Show $1/(1+ x^2)$ is uniformly continuous on $\Bbb R$.
75137
proving that $f(x) = x^s$ is holder continuous with holder exponent s
100979
Uniform continuity of a function and cauchy sequences
113871
Prove $f(x) = \sqrt x$ is uniformly continuous on $[0,\infty)$
127449
Uniform continuous of $f(x,y) = \sin(x^2+y)$
106060
If $f$ is continuous and with a limit at infinity then $f$ is uniformly continuous
77322
Uniform continuity of $\sin(x\sin x )$ for all $x\in (0,\infty)$
88259
prove that $\frac{1}{x}$ is not uniformly continuous on $(0,1)$