Iata o problema care ma intriga asa putin. Enuntul ei este urmatorul:
Fie sirul \( (x_{n})_{n\geq 1} \) definit prin \( x_{n}=\sum_{k=1}^{n}\frac{1}{2^{k}-k} \) Sa se arate ca sirul este convergent catre \( L \) si partea intreaga a lui \( L \) este \( 1 \). (L. Panaitopol)
P.S. Ceea ce ma intriga pe mine este cat e de fapt \( L \)-ul ala.
Un sir care ma intriga
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Cezar Lupu
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Un sir care ma intriga
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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