Tìm lim [(7n^2 – 2n^3 + 1) / (3n^3 + 2n^2 + 1)]

Tìm lim [(7n^2 – 2n^3 + 1) / (3n^3 + 2n^2 + 1)]

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  1. $\lim\dfrac{7n^2-2n^3+1}{3n^3+2n^2+1}=\lim\dfrac{\dfrac{-2n^3+7n^2+1}{n^3}}{\dfrac{3n^3+2n^2+1}{n^3}}=\lim\dfrac{ -2+\dfrac{7}{n}+\dfrac{1}{n^3}}{3+\dfrac{2}{n}+\dfrac{1}{n^3}}=-\dfrac{2}{3}$

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  2. $\lim\dfrac{7n^2-2n^3+1}{3n^3+2n^2+1}$

    $=\lim\dfrac{ \dfrac{7}{n}-2+\dfrac{1}{n^3}}{3+\dfrac{2}{n}+\dfrac{1}{n^3}}$

    $=\dfrac{0-2+0}{3+0+0}$

    $=\dfrac{-2}{3}$

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