Rozwiązanie:
[tex]f)[/tex]
[tex]$ \lim_{n \to \infty} \frac{5n^{2}-\sqrt{n^{3}+2} }{n^{2}+3n+1} = \lim_{n \to \infty} \frac{n^{2}\Big(5-\sqrt{\frac{1}{n}+\frac{2}{n^{4}} } \Big)}{n^{2}\Big(1+\frac{3}{n}+\frac{1}{n^{2}} \Big)} =\frac{5-\sqrt{0+0} }{1+0+0} =5[/tex]
