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Limita unui sir integral 1

Posted: Mon Nov 05, 2007 1:54 am
by Cezar Lupu
Fie \( I_{n}=\int_0^1 (1-x^{n})^{n}dx \), \( n\in\mathbb{N} \)
Sa se calculeze \( \lim_{n\to\infty} I_{n} \).