1. Tìm lim [(n^2 – 2) / (5n + 3n^2)] 2. Tìm lim [(n^2 – 2n) / (5n + 3n^2)]

1. Tìm lim [(n^2 – 2) / (5n + 3n^2)]
2. Tìm lim [(n^2 – 2n) / (5n + 3n^2)]

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  1. 1.

    $\lim\dfrac{n^2-2}{5n+3n^2}$

    $=\lim\dfrac{1-\dfrac{2}{n^2}}{\dfrac{5}{n}+3}$

    $=\dfrac{1}{3}$

    2.

    $\lim\dfrac{n^2-2n}{5n+3n^2}$

    $=\lim\dfrac{1-\dfrac{2}{n}}{\dfrac{5}{n}+3}$

    $=\dfrac{1}{3}$

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  2. $1)$ ` lim {n^2 – 2} / {5n + 3n^2}`

    `=lim {n^2 (1-2/{n^2})}/{n^2 (5/n+3)}`

    `=lim {1-2/{n^2}}/{5/n +3}={1+0}/{0+3}=1/3`

    $\\$

    $2)$ `lim {n^2 – 2n} / {5n + 3n^2}`

    `=lim {n^2 (1-2/n)}/{n^2 (5/n+3)}`

    `=lim {1-2/n}/{5/n +3}={1+0}/{0+3}=1/3`

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