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Sir divergent

Posted: Wed Dec 09, 2009 11:24 pm
by Marius Mainea
Fie sirul \( (x_n)_{n\ge1} \) de numere reale definit prin \( x_1=1 \) si \( x_{n+1}=|x_n-\frac{n}{n+1}| \) oricare ar fi \( n\ge 1 \). Aratati ca sirul este divergent.

Gazeta matematica