来自郭益深的问题
|1-1/2|+|1/3-1/2|+|1/4-1/3|+...+|1/2008-1/2007|怎么算
|1-1/2|+|1/3-1/2|+|1/4-1/3|+...+|1/2008-1/2007|怎么算
1回答
2020-06-28 11:53
|1-1/2|+|1/3-1/2|+|1/4-1/3|+...+|1/2008-1/2007|怎么算
|1-1/2|+|1/3-1/2|+|1/4-1/3|+...+|1/2008-1/2007|怎么算
因为是求绝对值,所以可以把每个绝对值号里面的数反过来减,去掉绝对值符号.这时可以看出来1-1/2+1/2-1/3+1/3-1/4+1/4-1/5.1/2007-1/2008=1-1/2008=2007/2008