如果lab-2l+(b-1)的2次幂=0,试求：1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2007)(b+2007)的值

如果lab-2l+(b-1)的2次幂=0,试求：1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2007)(b+2007)的值
如果lab-2l+(b-1)的2次幂=0,试求：1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2007)(b+2007)的值

如果lab-2l+(b-1)的2次幂=0,试求：1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2007)(b+2007)的值
lab-2l+(b-1)的2次幂=0
(b-1)的2次幂=0
b=1
lab-2l=0
la-2l=0
a=2
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2007)(b+2007)
=1/1*2+1/2*3+1/3*4+.+1/2008*2009
=1-1/2+1/2-1/3+1/3-1/4+.+1/2008-1/2009
=1-1/2009
=2008/2009