|1-1/2|+|1/2-1/3|+|1/3-1/4|+、、、|1/999-1/1000|= 绝对值的问题
来源:学生作业帮助网 编辑:作业帮 时间:2024/09/05 00:35:01
![|1-1/2|+|1/2-1/3|+|1/3-1/4|+、、、|1/999-1/1000|= 绝对值的问题](/uploads/image/z/1993003-43-3.jpg?t=%7C1-1%2F2%7C%2B%7C1%2F2-1%2F3%7C%2B%7C1%2F3-1%2F4%7C%2B%E3%80%81%E3%80%81%E3%80%81%7C1%2F999-1%2F1000%7C%3D+%E7%BB%9D%E5%AF%B9%E5%80%BC%E7%9A%84%E9%97%AE%E9%A2%98)
x)157Ѯ@1edh?nh %PVO|ڰ\4&HjfPeOg/xc׳Ov+yr"By%˟3y1->aeO?7\قiCuiCh?jXD<,_\g
) =_
|1-1/2|+|1/2-1/3|+|1/3-1/4|+、、、|1/999-1/1000|= 绝对值的问题
|1-1/2|+|1/2-1/3|+|1/3-1/4|+、、、|1/999-1/1000|= 绝对值的问题
|1-1/2|+|1/2-1/3|+|1/3-1/4|+、、、|1/999-1/1000|= 绝对值的问题
因为每个绝对值里面的值都大于0,则直接去掉绝对值符号得
|1-1/2|+|1/2-1/3|+|1/3-1/4|+、、、|1/999-1/1000|
=1-1/2+1/2-1/3+1/3-1/4+……+1/999-1/1000
=1-1/1000
=999/1000