计算:|1/3-1/2|+|1/4-1/3|+K+|1/2004-1/2003|

问题描述:

计算:|1/3-1/2|+|1/4-1/3|+K+|1/2004-1/2003|

:|1/3-1/2|+|1/4-1/3|+K+|1/2004-1/2003|
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2003-1/2004
=1/2-1/2004
=1001/2004