Seria \sum(e-(1+1/n)^n) este convergenta?

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Cezar Lupu
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Seria \sum(e-(1+1/n)^n) este convergenta?

Post by Cezar Lupu »

Sa se justifice daca seria \( \sum_{n\geq 1} \left(e-\left(1+\frac{1}{n}\right)^{n}\right) \) este convergenta sau nu.

UIUC Math Contest 2007
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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