绝对值的题

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绝对值的题绝对值的题绝对值的题去绝对值1/2-1/3+1/3-1/4+1/4-1/5+。。。。+1/2004-1/2005=1/2-1/2005=1/2-1/3+1/3-1/4+1/4-1/5+...

绝对值的题
绝对值的题

绝对值的题

去绝对值 1/2-1/3+1/3-1/4+1/4-1/5+。。。。+1/2004-1/2005=1/2-1/2005

=1/2-1/3+1/3-1/4+1/4-1/5+...+1/2003-1/2004+1/2004-1/2005
=1/2+(-1/3+1/3)+(-1/4+1/4)+(-1/5+...+1/2003)+(-1/2004+1/2004)-1/2005
=1/2-1/2005
=2013/4010

解:
原式
=1/2-1/3+1/3-1/4+1/4-1/5...+1/2004-1/2005
=1/2-1/2005
=2003/4010