Trong các giới hạn dãy số dưới đây, giới hạn có kết quả đúng là
\(\lim \,\left( -3{{n}^{4}}+3 \right)=-\infty \).
\(\lim \,\left( -3{{n}^{4}}+3 \right)=0\).
\(\lim \,\left( -{{n}^{4}}+2 \right)=+\infty \).
\(\lim \,\left( 5{{n}^{4}}-2 \right)=-\infty \).
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Chọn A.
\(\lim \,\left( -3{{n}^{4}}+3 \right)=\lim {{n}^{4}}\left( -3+\frac{3}{{{n}^{4}}} \right)\).
Do \(\lim {{n}^{4}}=\infty \) và \(\lim \left( -3+\frac{3}{{{n}^{4}}} \right)=-3<0\) nên \(\lim \,(-3{{n}^{4}}+3)=\lim {{n}^{4}}\left( -3+\frac{3}{{{n}^{4}}} \right)=-\infty \).
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