lim(1/n2+2/n2+3/n2+……n/n2)n趋向于无穷解题思路

Question

lim(1/n2+2/n2+3/n2+……n/n2)n趋向于无穷 解题思路

Answer 1

lim[n→∞] (1/n²+2/n²+...+n/n²)
=lim[n→∞] (1+2+...+n)/n²
=lim[n→∞] (1/2)n(n+1)/n²
=1/2
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