Concursul GM "Nicolae Teodorescu" 2009, problema 2

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Laurentiu Tucaa
Thales
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Joined: Sun Mar 22, 2009 6:22 pm
Location: Pitesti

Concursul GM "Nicolae Teodorescu" 2009, problema 2

Post by Laurentiu Tucaa »

Sa se calculeze :\( \lim_{n\to\infty} \frac{\sum_{k=1}^n [ke^{1/k}]}{n^2} \)

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Marius Mainea
Gauss
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Joined: Mon May 26, 2008 2:12 pm
Location: Gaesti (Dambovita)

Post by Marius Mainea »

\( \frac{1}{2} \) (Cesaro- Stolz)
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