Multime densa in (0;1)

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maxim bogdan
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Multime densa in (0;1)

Post by maxim bogdan »

Fie \( \alpha \) un numar irational. Demonstrati ca multimea:

\( A=\{\{n^2\alpha\} \ | n\in\mathbb{N}^{*}\}, \)

este densa in \( (0;1). \)
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