Limita log-integrala
Posted: Sun Jun 29, 2008 11:18 am
Fie \( k \) un numar real strict pozitiv. Sa se calculeze
\( \lim_{n\to\infty}\int_0^1\frac{\log(1+x^{n+k})}{\log(1+x^n)}dx \).
\( \lim_{n\to\infty}\int_0^1\frac{\log(1+x^{n+k})}{\log(1+x^n)}dx \).