|1/3-1/2|+|1/4-1/3|+|1/2-1/4|+...+|1/100-1/99| 计算.
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/21 00:31:58
![|1/3-1/2|+|1/4-1/3|+|1/2-1/4|+...+|1/100-1/99| 计算.](/uploads/image/z/66301-61-1.jpg?t=%7C1%2F3-1%2F2%7C%2B%7C1%2F4-1%2F3%7C%2B%7C1%2F2-1%2F4%7C%2B...%2B%7C1%2F100-1%2F99%7C+%E8%AE%A1%E7%AE%97.)
|1/3-1/2|+|1/4-1/3|+|1/2-1/4|+...+|1/100-1/99| 计算.
|1/3-1/2|+|1/4-1/3|+|1/2-1/4|+...+|1/100-1/99| 计算.
|1/3-1/2|+|1/4-1/3|+|1/2-1/4|+...+|1/100-1/99| 计算.
先去掉绝对值,变成1/2(下称2)-1/3(同左)+1/3-1/4……
整理一下就是2-3+3-4+4-5……+98-99+99-100,相加相减之间可以消去
=2-100
=49/100