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|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2012-1/2011|计算

来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/09/30 21:24:48
|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2012-1/2011|计算
|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2012-1/2011|计算
|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2012-1/2011|
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/2011-1/2012
=1-1/2012
=2011/2012