Giới hạn \[\lim \frac{{{{\left( {2 - 5n} \right)}^3}{{\left( {n + 1} \right)}^2}}}}\] bằng?

\[\lim \frac{{{{(2 - 5n)}^3}{{(n + 1)}^2}}}} = \lim \frac{{\frac{{{{(2 - 5n)}^3}}}{{{n^3}}}.\frac{{{{(n + 1)}^2}}}{{{n^2}}}}}{{\frac}{{{n^5}}}}} = \frac{{{{\left( {\frac{n}} \right)}^3}.{{\left( {\frac{n}} \right)}^2}}}{{\frac{2}{{{n^5}}} - 25}}\]

\[ = \lim \frac{{{{\left( {\frac{2}{n} - 5} \right)}^3}.{{\left( {1 + \frac{1}{n}} \right)}^2}}}{{\frac{2}{{{n^5}}} - 25}} = \frac{{{{\left( {0 - 5} \right)}^3}{{\left( {1 + 0} \right)}^2}}} = \frac{{{{( - 5)}^3}{{.1}^2}}}{{ - 25}} = 5\]

Đáp án cần chọn là: C