Un sir de produse si limita sa

Moderators: Bogdan Posa, Laurian Filip, Beniamin Bogosel, Radu Titiu, Marius Dragoi

Post Reply
User avatar
Cezar Lupu
Site Admin
Posts: 612
Joined: Wed Sep 26, 2007 2:04 pm
Location: Bucuresti sau Constanta
Contact:
Contact Cezar Lupu

Un sir de produse si limita sa

Post by Cezar Lupu »

Se considera sirul \( (x_{n})_{n\geq 2} \) definit prin \( x_{n}=\prod_{k=2}^{n}\sqrt[k]{k} \). Sa se calculeze \( \lim_{n\to\infty} (x_{n})^{\frac{1}{\ ln^2 n} \).
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.
Top
Post Reply

Return to “Analiza matematica”