Show that for each irrational number $x$ the set of limit points of the sequence
$(a_n)_{n\in\mathbb{N}}=nx-[nx]$
is the interval $[0,1]$.
($[x]$ is the largest integer $\leq x$)
Any ideas how to prove that?
2026-04-03 19:46:50.1775245610
Tricky proof involving limit points
56 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in REAL-ANALYSIS
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