当n趋近无穷大的时候1⼀n∑(1+i⼀n)的平方i从1到n

2024-12-07 13:41:09
推荐回答(1个)
回答1:

1/n∑(1+i/n)
=1/n^2∑(n+i)
=(1/n^2)(n^2+n(n+1)/2)
所以:lim1/n∑(1+i/n)
=lim(1/n^2)(n^2+n(n+1)/2)
=1+1/2=3/2