求极限 lim n->∞ [(1/n^2)+(2/n^2)+...+(n-1/n^2)] 麻烦写出过程
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求极限 lim n->∞ [(1/n^2)+(2/n^2)+...+(n-1/n^2)] 麻烦写出过程
求极限 lim n->∞ [(1/n^2)+(2/n^2)+...+(n-1/n^2)] 麻烦写出过程
求极限 lim n->∞ [(1/n^2)+(2/n^2)+...+(n-1/n^2)] 麻烦写出过程
原式=(1+2+3+...+n-1)/(n^2)
=1/2*n(n-1)/(n^2)
=(1/2*n^2-1/2*n)/(n^2)
当n->∞,那么原式得1/2
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