Tính giới hạn (I = lim frac{{2n - 3}}{{2{n^2} + 3n + 1}})

* Hướng dẫn giải

\(\begin{array}{l}
I = \lim \frac{{2n - 3}}{{2{n^2} + 3n + 1}} = \lim \frac{{{n^2}\left( {\frac{2}{n} - \frac{3}{{{n^2}}}} \right)}}{{{n^2}\left( {2 + \frac{3}{n} + \frac{1}{{{n^2}}}} \right)}}\\
 = \lim \frac{{\frac{2}{n} - \frac{3}{{{n^2}}}}}{{2 + \frac{3}{n} + \frac{1}{{{n^2}}}}} = 0
\end{array}\)