|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2014-1/2013|.=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2013-1/2014=1/2-1/2014=553/1007打字不易，如满意，望采纳。
