Show that $\{e^{in}: n\in\Bbb N\}$ is Dense in the Unit Circle

This is identical to showing that the fractional parts of $\dfrac{n}{2\pi}$ are dense in $[0,1)$, which is true since $\dfrac{1}{2\pi}$ is irrational (see e.g. this question).

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General Topology

Complex Analysis

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