\subsubsection {}
Spo�t�te limity: 

${\lim\limits_{n\to\infty}}{1+2+\dots+n\over n^2}$,\quad

${\lim\limits_{n\to\infty}}\root n\of{A^n+B^n+C^n},\,(A,B,C>0)$,\quad


${\lim\limits_{n\to\infty}} \root n\of {n!}$,\quad

${\lim\limits_{n\to\infty}} \sum\limits_{k=1}^n{1\over\sqrt{n^2+k}}$,\quad

${\lim\limits_{n\to\infty}} \sum\limits_{k=1}^n{1\over k(k+1)}$,

${\lim\limits_{n\to\infty}} \sqrt n\left(\root n\of 3-\root n\of
2\right)$,\quad

${\lim\limits_{n\to\infty}} a_n,$ \rm kde $a_1=\sqrt2,\,a_{n+1}=\sqrt{2+a_n}$,\quad

$\lim a_n,$ \mbox{kde}
a_1=\sqrt2,\,a_{n+1}=\sqrt{2-a_n}$,



