计算：lim{3n^3-1/(n+1)^3}

来源：学生作业帮编辑：神马作文网作业帮分类：数学作业时间：2024/11/17 12:13:52

$计算：lim{3n^3-1/(n+1)^3}$

lim (3n³-1)/(n+1)³ as n->∞
=lim (3n³-1)/(n³+3n²+3n+1)
=lim (3-1/n³)/(1+3/n+3/n²+1/n³)
=(3-0)/(1+0+0+0)
=3

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