Show $\displaystyle \exists$ $\displaystyle f,g$ uni. cont. on $\displaystyle (0,1)$ with $\displaystyle g(x)>0$, $\displaystyle \forall x \in (0,1)$, s.t. $\displaystyle f/g$ is not uni. cont. on $\displaystyle (0,1)$
Show $\displaystyle \exists$ $\displaystyle f,g$ uni. cont. on $\displaystyle (0,1)$ with $\displaystyle g(x)>0$, $\displaystyle \forall x \in (0,1)$, s.t. $\displaystyle f/g$ is not uni. cont. on $\displaystyle (0,1)$