首页 > 留学知识库

问题: 急求代数不等式解!明天要交!(2)

题目如下:

求证:1/2 < 1/(n+1)+1/(n+2)+…+1/(2n)<1


要具体过程!
希望各位大大能帮我..
3Q~!
悬赏会追加~!

解答:

1/(n+1)+1/(n+2)+…1/2n
>1/2n+1/2n+……+1/2n(有n个)
=n*1/2n=1/2
1/(n+1)+1/(n+2)+…1/2n
<1/n+1/n+……+1/n
=n*1/n=1
得证