|ab-2|+|a-1|=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2008)(b+2008)的值

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|ab-2|+|a-1|=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2008)(b+2008)的值
|ab-2|+|a-1|=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2008)(b+2008)的值

|ab-2|+|a-1|=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2008)(b+2008)的值
|ab-2|+|a-1|=0,
所以 ab-2=0 a-1=0
a=1 b=2
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2008)(b+2008)
=1/1*2+1/2*3+1/3*4+...+1/2009*2010
=1/1-1/2+1/2-1/3+1/3-1/4+...+1/2009-1/2010
=1-1/2010
=2009/2010

|ab-2|+|a-1|=0，
所以ab-2=0 a-1=0
a=1 b=2
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+....+1/(a+2008)(b+2008)
=1/（1×2）+1/（2×3）+……+1/（2009×2010）
=1-1/2+1/2-1/3+……+1/2009-1/2010
=1-1/2010
=2009/2010

|ab-2|+|a-1|=0
a=1，b=2.
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+....+1/(a+2008)(b+2008)的值就是：
1/2+1/6+1/12+....+1/2009×2010)的值
1-1/2+1/2-1/3+1/3-1/4+...-1/2010
=1-1/2010
=2009/2010

|ab-2|+|a-1|=0 得出ab=2 a=1
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+....+1/(a+2008)(b+2008)
=1/2+1/2x3+1/3x4+......+1/2009x2010
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+......+(1/2009-1/2010)
去掉括号
=1-1/2010
=2009/2010

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