Write down a sequence (z_{1}, z_{2}, z_{3}, ldots) of complex numbers with the following property: for any

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Write down a sequence \(z_{1}, z_{2}, z_{3}, \ldots\) of complex numbers with the following property: for any complex number \(w\) and any positive real number \(\varepsilon\), there exists \(N\) such that \(\left|w-z_{N}\right|<\varepsilon\).

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