a-1|+|ab-2|=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+1998)(b+1998)的值

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a-1|+|ab-2|=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+1998)(b+1998)的值a-1|+|ab-2|=0,求1/ab+1/(a+1)(b+1)+

a-1|+|ab-2|=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+1998)(b+1998)的值
a-1|+|ab-2|=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+1998)(b+1998)的值

a-1|+|ab-2|=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+1998)(b+1998)的值
a=1,b=2
1/2+1/2*3+1/3*4+1/4*5+.+1/1999*2000=
1/2+1/2-1/3+1/3-1/4+1/4-1/5+.-1/1999+1/2000-1/2000=
1-1/2000=1999/2000