Let \(w \in \mathcal{C}_{(\mathrm{o})}[0,1]\) and assume that for every fixed \(t \in[0,1]\) the number \(w(t)\) is a limit point of the family \(\left\{Z_{s}(t): s>eight\} \subset \mathbb{R}\). Show that this is not sufficient for \(w\) to be a limit point of \(\mathcal{C}_{(0)}[0,1]\).