Fie \( k \) un numar real strict pozitiv. Sa se calculeze
\( \lim_{n\to\infty}\int_0^1\frac{\log(1+x^{n+k})}{\log(1+x^n)}dx \).
Limita log-integrala
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Limita log-integrala
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.