limita de sir cu radical de ordin 2^n

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Cezar Lupu
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limita de sir cu radical de ordin 2^n

Post by Cezar Lupu »

Sa se calculeze:

\( \lim_{n\to\infty}\frac{1}{n}\sqrt[2^{n}]{n^{C_{n}^{0}}(n+1)^{C_{n}^{1}}\ldots (n+n)^{C_{n}^{n}}} \).

Cristinel Mortici, G.M.A. 2003
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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