题目内容：

lim根号n^2+n+1/3n-2

优质解答

lim【n→∞】√(n²+n+1)/(3n-2)
=lim【n→∞】√(1+1/n+1/n²)/(3-2/n²)
=√(1+0+0)/(3-0)
=1/3
答案：1/3