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Soit \(\gamma :[0,1]\rightarrow \Cc\) continue, et \(z\in \Cc\) quelconque. Montrer : \[\begin{aligned} \forall \epsilon &>&0,\exists \gamma ^{\prime }\in C([0,1],\Cc) \text{ tel que:} \\ 1 &:&\forall t\in [0,1],\left| \gamma (t)-\gamma ^{\prime }(t)\right| <\epsilon , \\ 2 &:&\forall t\in [0,1],\gamma (t)\neq z.\end{aligned}\]