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计算|1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|+...+|1/2-1

来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/04/29 21:44:32
计算|1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|+...+|1/2-1|急!
计算|1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|+...+|1/2-1
|1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|+...+|1/2-1|
=(1/2010-1/2011)+(1/2009-1/2010)+……+(1-1/2)
=-1/2011+1/2010-1/2010+1/2009+...-1/2+1
=-1/2011+1
=2010/2011