如果有理数a,b满足|ab-2|+|1-b|=0,试求1 /ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2003)(b+2003)的值,

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如果有理数a,b满足|ab-2|+|1-b|=0,试求1 /ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2003)(b+2003)的值,
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如果有理数a,b满足|ab-2|+|1-b|=0,试求1 /ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2003)(b+2003)的值,
如果有理数a,b满足|ab-2|+|1-b|=0,试求1 /ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...
+1/(a+2003)(b+2003)的值,

如果有理数a,b满足|ab-2|+|1-b|=0,试求1 /ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2003)(b+2003)的值,
b=1,a=2
原式=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5……+1/2004-1/2005
=1-1/2005
=2004/2005

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