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)]

Question

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)]

Answer 1

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)