原式= 1/2 - 1/3 + 1/3 -1/4 + ...+ 1/2009 - 1/2010
= 1/2 - 1/2010
= 1004/2010
= 502/1005
简便计算：|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2010-1/2009|
2个回答
相关问题
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