Sir dens in [0,1]
Posted: Wed Feb 20, 2008 11:02 pm
Fie \( x_{n} = \{ {\sum_{k = 1}^{n}\frac {1}{\sqrt k} \} \). Aratati ca sirul \( (x_{n}) \) este dens in \( [0,1] \).
ONM, Lista scurta 2004, Daniel Petriceanu
ONM, Lista scurta 2004, Daniel Petriceanu