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求数列的极限问题!lim(x->无穷大)[1/(n^2+1)+2/(n^2+2)+...+n/(n^2+n)]

题目详情
求数列的极限问题!
lim(x->无穷大)[1/(n^2+1)+2/(n^2+2)+...+n/(n^2+n)]
▼优质解答
答案和解析
设S=1/(n^2+1)+2/(n^2+2)+...+n/(n^2+n)
1/(n^2+n)+2/(n^2+n)+...+n/(n^2+n)