作业帮|1/3-1/2|+|1/4-1/3|~|1-2012-1/2011|急求怎样解答
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|1/3-1/2|+|1/4-1/3|~|1-2012-1/2011|急求怎样解答
|1/3-1/2|+|1/4-1/3|~|1-2012-1/2011|急求怎样解答
|1/3-1/2|+|1/4-1/3|~|1-2012-1/2011|急求怎样解答
1/2>1/3>1/4>...>1/2011>1/2012
|1/3-1/2|+|1/4-1/3|+...+|1/2012-1/2011|
=1/2-1/3+1/3-1/4+...+1/2011-1/2012
=1/2-1/2012
=1005/2012
|1/3-1/2|+|1/4-1/3|~~|1-2012-1/2011|
=1/2-1/3+1/3-1/4+...+1/2011-1/2012
=1/2-1/2012
=1005/2012