若|x-1|+|y-3|=0,求1/xy+1/(x+2)(y+2)+1/(x+4)(y+4)+1/(x+6)(y+6）.+1/(x+2010)(y+2010)的值

题目

若|x-1|+|y-3|=0,求1/xy+1/(x+2)(y+2)+1/(x+4)(y+4)+1/(x+6)(y+6）.+1/(x+2010)(y+2010)的值
x=1,y=3,

答案

1006/2013