$\lim \left( {10 - {{2\sin {n^2}} \over {\sqrt n }}} \right)$    

 $\lim \left( {{1 \over 2} + {{{{\left( { - 1} \right)}^n}{{\left( {\sqrt 3 } \right)}^n}} \over {{{3.2}^{n + 1}}}}} \right)$

$\lim {{n\sin {n^2} - 3{n^2}} \over {{n^2}}}$     

 $\lim {{n - 2\sqrt n } \over {2n}}$