1. Tìm lim (3n^2 + 1) / (n^2 - 2) 2. Tìm lim (8n^2 + 3n - 1) / (4 + 5n + 2n^2)

1)

$\,\,\,\,\lim \dfrac{3{{n}^{2}}+1}{{{n}^{2}}-2}$

$=\lim \dfrac{3+\dfrac{1}{{{n}^{2}}}}{1-\dfrac{2}{{{n}^{2}}}}$

$=\dfrac{3}{1}$

$=3$

2)

$\lim \dfrac{8{{n}^{2}}+3n-1}{4+5n+2{{n}^{2}}}$

$=\lim \dfrac{8{{n}^{2}}+3n-1}{2{{n}^{2}}+5n+4}$

$=\lim \dfrac{8+\frac{3}{n}-\dfrac{1}{{{n}^{2}}}}{2+\dfrac{5}{n}+\dfrac{4}{{{n}^{2}}}}$

$=\dfrac{8}{2}$

$=4$