|ab-2|+|a-2|=0 求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2006)(b+2006)的值

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|ab-2|+|a-2|=0 求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2006)(b+2006)的值
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|ab-2|+|a-2|=0 求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2006)(b+2006)的值
|ab-2|+|a-2|=0 求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2006)(b+2006)的值

|ab-2|+|a-2|=0 求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2006)(b+2006)的值
|ab-2|+|a-2|=0
ab=2 a=2
b=1
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2006)(b+2006)
=1/2*1+1/3*2+1/4*3...+1/2008*2007
=1-1/2+1/2-1/3+1/3-1/4+...+1/2007-1/2008
=1-1/2008
=2007/2008

2007/2008