|x-1|+|y+3|=0
|x-1|≥0
|y+3|≥0
所以x-1=0,y+3=0
x=1,y= -3
原式= 1/1*-3+1/3*-1+1/1*5+1/3*7+1/5*9+.+1/(2n-1)(2n+3)
=【(-3/2+1-1/5+1/3-1/7+1/5-1/9+.+1/(2n-1)-1/(2n+3) 】÷4
=【-3/2+1+1/3-1/(2n+1)-1/(2n+3)】÷4
=1/6-(n+1)/[(2n+1)(2n+3)]
当n=2010时.
原式=1/6-2011/8044= -1/12