x趋于无穷大lim(1/n²+2/n²+...+n/n²)=

问题描述:

x趋于无穷大lim(1/n²+2/n²+...+n/n²)=

1/2原式=lim(1+2+3+……+n)/n²=lim n(n+1)/2n²=lim (n+1)/2n=lim n/2n + lim 1/2n=1/2