Tính các giới hạn sau: lim((-4n + 1)/ (9n^2 - n + 2))
Tính các giới hạn sau:
\(\lim \frac{{ - 4n + 1}}{{9{n^2} - n + 2}}\);
\(\lim \frac{{ - 4n + 1}}{{9{n^2} - n + 2}}\)\( = \lim \frac{{{n^2}\left( {\frac{{ - 4}}{n} + \frac{1}{{{n^2}}}} \right)}}{{{n^2}\left( {9 - \frac{1}{n} + \frac{2}{{{n^2}}}} \right)}}\)\( = \lim \frac{{\frac{{ - 4}}{n} + \frac{1}{{{n^2}}}}}{{9 - \frac{1}{n} + \frac{2}{{{n^2}}}}}\)
\( = \frac{{\lim \left( {\frac{{ - 4}}{n} + \frac{1}{{{n^2}}}} \right)}}{{\lim \left( {9 - \frac{1}{n} + \frac{2}{{{n^2}}}} \right)}} = \frac{0}{9} = 0\).