|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
问题描述：
|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
答
|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好人啊，但是我已经会做了，谢谢啊，下次有问题就问你，给你分哦。谢谢采纳