A. \(\lim \dfrac{{{n^2} - {n^3}}}{{2{n^3} + 1}}\)
B. \(\lim \dfrac{{2{n^2} + n}}{{ - 2n - {n^2}}}\)
C. \(\lim \dfrac{{3n + 1}}{{2 - 3n}}\)
D. \(\lim \dfrac{{ - {n^3}}}{{{n^2} + 3}}\)
C
\(\begin{array}{l}\lim \dfrac{{{n^2} - {n^3}}}{{2{n^3} + 1}} = \lim \dfrac{{\dfrac{1}{n} - 1}}{{2 + \dfrac{1}{{{n^3}}}}} = - \dfrac{1}{2}\\\lim \dfrac{{2{n^2} + n}}{{ - 2n - {n^2}}} = \lim \dfrac{{2 + \dfrac{1}{n}}}{{ - \dfrac{2}{n} - 1}} = - 2\\\lim \dfrac{{3n + 1}}{{2 - 3n}} = \lim \dfrac{{3 + \dfrac{1}{n}}}{{\dfrac{2}{n} - 3}} = - 1\\\lim \dfrac{{ - {n^3}}}{{{n^2} + 3}} = \lim \dfrac{{ - 1}}{{\dfrac{1}{{{n^3}}} + \dfrac{3}{{{n^3}}}}} = - \infty \end{array}\)
Chọn C.
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