lim 2n^2+n+1/n^2-2n+1

题目

lim 2n^2+n+1/n^2-2n+1
n趋于无穷

答案

lim(n->∞)( 2n^2+n+1)/(n^2-2n+1)
=lim(n->∞)( 2+1/n+1/n^2)/(1-2/n+1/n^2)
=2