|ab-2|+|b-1|=0
|b-1|=0
b=1
|ab-2|=0
|a-2|=0
a=2
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2009)(b+2009)
=1/1*2+1*2*3+1*3*4+...+1/2010*2011
=1/2-1/3+1/3-1/4+1/4-1/5+...+1/2010-1/2011
=1/2-1/2011
=2011/4022-2/4022
=2009/4022
知|ab-2|与|b-1|互为相反数1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+20
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