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)
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+...