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)=
答
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
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