计算:(1+1/3+5/1+7/1+...+1/2009+1/2011)(1/3+1/5+1/7

问题描述:

计算:(1+1/3+5/1+7/1+...+1/2009+1/2011)(1/3+1/5+1/7
...+1/2011+1/2013)-(1+1/3+1/5+1/7+...+1/2011+1/2013)(1/3+1/5+1/7+...+1/2009+1/2011)
1个回答 分类:数学 2014-10-27

问题解答:

我来补答
(1+1/3+5/1+7/1+...+1/2009+1/2011)(1/3+1/5+1/7...+1/2011+1/2013)-(1+1/3+1/5+1/7+...+1/2011+1/2013)(1/3+1/5+1/7+...+1/2009+1/2011)
=(1+1/3+5/1+7/1+...+1/2009+1/2011)(1/3+1/5+1/7...+1/2011)+(1+1/3+5/1+7/1+...+1/2009+1/2011)/2013-(1+1/3+1/5+1/7+...+1/2011)(1/3+1/5+1/7+...+1/2009+1/2011)-(1/3+5/1+7/1+...+1/2009+1/2011)/2013
=1/2013
 
 
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