Given ab is a rational number, satisfying (a-1)+|ab-2|=0,... Given that ab is a rational number and satisfies |a-1|+|ab-2|=0, find the value of +(a+1)(b+1)(a+2)(b+2)(1(a+2012)(b+2012)(1).

Given ab is a rational number, satisfying (a-1)+|ab-2|=0,... Given that ab is a rational number and satisfies |a-1|+|ab-2|=0, find the value of +(a+1)(b+1)(a+2)(b+2)(1(a+2012)(b+2012)(1).

|A-1+|ab-2|=0
So a-1=0
Ab-2=0
Then a =1
B=2/a=2
Therefore, the original formula =1/1×2+1/2×3+…… +1/2013×2014
=1-1/2+1/2-1/3+…… +1/2013-1/2014
=1-1/2014
=2013/2014

1. If |m|=4,|n|=3, and the rational number m is positive and the rational number n is negative, then m-n=2. The points AB on the number axis represent -3 and 2 respectively. If point P is a point with a distance of 2 to point A or point B, then the sum of the numbers represented by all points P that meet the conditions is () 3. The sum of all integers with absolute value less than 2013 is ()

1. If |m|=4,|n|=3, and rational number m is positive, rational number n is negative, m=4, n=-3
Then m-n=7
2. If the points AB on the number axis represent -3 and 2, respectively, and the point P is a point with a distance of 2 to point A or point B, then the sum of the numbers represented by all the points P that meet the conditions is (-1).
3. The sum of all integers with absolute value less than 2013 is (0)