Sir de numere nule pentru orice x numar real

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Cezar Lupu
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Sir de numere nule pentru orice x numar real

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Daca \( \sum_{k=1}^{n}a_{k}\sin kx\geq 0, \forall x\in\mathbb{R} \), atunci \( a_{k}=0 \) pentru orice \( k=1,\dots,n \).
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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