使不等式1/n(n+1)+1/(n+1)(n+2)+...+1/(2n-1)2n

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/09 10:02:44
使不等式1/n(n+1)+1/(n+1)(n+2)+...+1/(2n-1)2n使不等式1/n(n+1)+1/(n+1)(n+2)+...+1/(2n-1)2n使不等式1/n(n+1)+1/(n+1)

使不等式1/n(n+1)+1/(n+1)(n+2)+...+1/(2n-1)2n
使不等式1/n(n+1)+1/(n+1)(n+2)+...+1/(2n-1)2n

使不等式1/n(n+1)+1/(n+1)(n+2)+...+1/(2n-1)2n
1/n(n+1)+1/(n+1)(n+2)+...+1/(2n-1)2n
=1/n-1/(n+1)+1/(n+1)-1/(n+2)+...+1/(2n-1)-1/2n
=1/n-1/2n
=1/2n=1
则0