Can fractional part of $e^n$ where $n\in\mathbb{Z}_+$ dense in $(0,1)$?
Generally, for which kind of $\alpha > 0$, $\{\alpha^n\}$ dense in $(0,1)$?
Can fractional part of $e^n$ where $n\in\mathbb{Z}_+$ dense in $(0,1)$?
Generally, for which kind of $\alpha > 0$, $\{\alpha^n\}$ dense in $(0,1)$?
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