ab分之一+1/(a+1)(b+1)+1/(a+2)(b+2)+···+1/(a+2009)(b+2009)得值急死了,已知lab-2l与llb-1l互为相反数,试求代数式

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ab分之一+1/(a+1)(b+1)+1/(a+2)(b+2)+···+1/(a+2009)(b+2009)得值急死了,已知lab-2l与llb-1l互为相反数,试求代数式ab分之一+1/(a+1)(

ab分之一+1/(a+1)(b+1)+1/(a+2)(b+2)+···+1/(a+2009)(b+2009)得值急死了,已知lab-2l与llb-1l互为相反数,试求代数式
ab分之一+1/(a+1)(b+1)+1/(a+2)(b+2)+···+1/(a+2009)(b+2009)得值
急死了,
已知lab-2l与llb-1l互为相反数,试求代数式

ab分之一+1/(a+1)(b+1)+1/(a+2)(b+2)+···+1/(a+2009)(b+2009)得值急死了,已知lab-2l与llb-1l互为相反数,试求代数式
知lab-2l与llb-1l互为相反数,
ab-2=0
b-1=0
所以 b=1 a=2
ab分之一+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
=1-1/2+1/2-1/3+1/3-1/4+……+1/2010-1/2011
=1-1/2011
=2010/2011