求极限 3n^2-4n+4/2-n^2

问题描述:

求极限 3n^2-4n+4/2-n^2
1个回答 分类:数学 2014-11-27

问题解答:

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(3n^2-4n+4)/(2-n^2)
=(3n^2-6-4n+10)/(2-n^2)
=-3+(10-4n)/(2-n^2)
=-3-(4/n+10/n^2)/(-1+2/n^2)
n趋向于无穷大,-4/n+10/n^2趋向于0,2/n^2-1趋向于-1
lim(3n^2-4n+4)/(2-n^2)=-3
 
 
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