|1-1/2|十|1/2-1/3|十|1/3-1/4|……|1/9-1/10|

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/13 04:11:36
|1-1/2|十|1/2-1/3|十|1/3-1/4|……|1/9-1/10||1-1/2|十|1/2-1/3|十|1/3-1/4|……|1/9-1/10||1-1/2|十|1/2-1/3|十|1/3

|1-1/2|十|1/2-1/3|十|1/3-1/4|……|1/9-1/10|
|1-1/2|十|1/2-1/3|十|1/3-1/4|……|1/9-1/10|

|1-1/2|十|1/2-1/3|十|1/3-1/4|……|1/9-1/10|
很明显,每个绝对值内的东西都是正数.所以可以毫不留情地把绝对值符号去掉.
1-1/2+1/2-1/3+1/3-1/4+…+1/9-1/10.
统统抵消掉.
1-1/10=9/10