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Sir cu termeni pozitivi

Posted: Wed Jan 14, 2009 1:24 am
by Marius Mainea
Se considera sirul de numere reale pozitive \( (a_n)_{n\ge 1} \) cu proprietatea \( a_{n-1}\le (a_{n+2}-a_n)^n\le a_{n+1} \) , \( (\forall), n\ge 2 \).

Calculati \( \lim_{n\to\infty}\frac{a_n}{n}. \)

Marius Ghergu, G.M.