已知|ab-2|与|a-1|互为相反数,试求下试的值.1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+..1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2006)(b+2006)的值为多少

已知|ab-2|与|a-1|互为相反数,试求下试的值.1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+..1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2006)(b+2006)的值为多少
已知|ab-2|与|a-1|互为相反数,试求下试的值.1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+..
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2006)(b+2006)的值为多少

已知|ab-2|与|a-1|互为相反数,试求下试的值.1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+..1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2006)(b+2006)的值为多少
由题意
|ab-2|=|a-1|=0
解得a=1,b=2
当a=1,b=2时
原式=1/1*2+1/2*3+…1/2007*2008
=1-1/2008 （列项,不用我说了吧,小学有）
=2007/2008

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