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

1个回答

  • (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