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

问题描述:

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

|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