已知|ab-2|与|b-1|互为相反数,求1/ab-1/(a+1)(b+1)+1/(a+2)(b+2)+······+1/(a+2006）（b+2006)求这个数的值（请有过程,

已知|ab-2|与|b-1|互为相反数,求1/ab-1/(a+1)(b+1)+1/(a+2)(b+2)+······+1/(a+2006）（b+2006)求这个数的值（请有过程,
已知|ab-2|与|b-1|互为相反数,求1/ab-1/(a+1)(b+1)+1/(a+2)(b+2)+······+1/(a+2006）（b+2006)
求这个数的值（请有过程,

已知|ab-2|与|b-1|互为相反数,求1/ab-1/(a+1)(b+1)+1/(a+2)(b+2)+······+1/(a+2006）（b+2006)求这个数的值（请有过程,
ab-2|+|b-1|=0
a=2,b=1
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+…+1/(a+2006)(b+2006)
=1/2+1/3x2+1/4x3...1/2008x2007
=1-1/2+1/2-1/3+1/3-1/4+.+1/2007-1/2008
=1-1/2008
=2007/2008

ab-2|+|b-1|=0
a=2，b=1
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+…+1/(a+2006)(b+2006)
=1/2+1/3x2+1/4x3...1/2008x2007
=1-1/2+1/2-1/3+1/3-1/4+....+1/2007-1/2008
=1-1/2008
=2007/2008你好，这种题好像需...

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ab-2|+|b-1|=0
a=2，b=1
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+…+1/(a+2006)(b+2006)
=1/2+1/3x2+1/4x3...1/2008x2007
=1-1/2+1/2-1/3+1/3-1/4+....+1/2007-1/2008
=1-1/2008
=2007/2008

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已知|ab-2|与|b-1|互为相反数,则有：
|ab-2|+|b-1|=0
所以：ab=2,b=1,进一步得到a=2.
1/2+1/6+1/12+.......+1/2007*2008
=1-1/2+1/2-1/3+1/3-1/4+......+1/2007-1/2008
=1-1/2008
=2007/2008.