ab-2=0
b-1=0
∴ a=2
b=1
∴ab分之一+(a+1)(b+1 )分之一+(a+2)(b+2)分之一+.+ (a+2010 )(b+2010)分之一
=1/1×2+1/2×3+1/3×4+……+1/2011×2012
=1-1/2+1/2-1/3+1/3-1/4+……+1/2011-1/2012
=1-1/2012
=2011/2012
ab-2=0
b-1=0
∴ a=2
b=1
∴ab分之一+(a+1)(b+1 )分之一+(a+2)(b+2)分之一+.+ (a+2010 )(b+2010)分之一
=1/1×2+1/2×3+1/3×4+……+1/2011×2012
=1-1/2+1/2-1/3+1/3-1/4+……+1/2011-1/2012
=1-1/2012
=2011/2012