解|1/2014-1/2013|+|1/2013-1/2012|+……+|1/3-1/2|+|1/2-1|——这个吧=(1/2013-1/2014)+(1/2012-1/2013)+……+(1/2-1/3)+(1-1/2)=1+(1/2-1/2)+(1/3-1/3)+……+(1/2013-1/2013)-1/2014=1-1/2014=2013/2014...