当a=-2,b=-1时
1/ab+1/(a-1)(b-1)+1/(a-2)(b-2)+……+1/(a-2011)(b-2011)
=1/[-2×(-1)]+1/[-3×(-2)]+1/[-4×(-3)]+……+1/[-2013×(-2012)]
=1/(1×2)+1/(2×3)+1/(3×4)+……+1/(2012×2013)
=1-1/2+1/2-1/3+1/3-1/4+……+1/2012-1/2013
=1-1/2013
=2012/2013
1/ab+1/(a-1)(b-1)+1/(a-2)(b-2)+…+1/(a-2011)(b-2011)的值.(a=-2,
1个回答
相关问题
-
已知|ab-2|+|a-1|=0.求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2011
-
已知：︱a-2︱+（b-1）²=0 试求：1/ab+1/(a+1)(b+1)+……+1/(a+2011)(b+
-
若（a-2）的平方+（ab-6）的平方=0,则1/ab+1/(a+1)*(b+1)+……+1/(a+2011)*(b+2
-
1、若a=2012,b=-2011,求a^2+2b^2+3ab的值
-
当a=1,b=2时,求方程x/ab+x/(a+1)(b+1)+x/(a+2)(b+2)+...+x/(a+2011)(b
-
已知1/a+1/b+1/c=1/(a+b+c),求证1/a2011+1/b2011+1/c2011=1/(a2011+b
-
求ab分之一+(a+1)(b+1)分之一.(a+2011)(b+2011) a=1,b=2 说明原因,具体
-
已知a+b=A,ab=A+2011,1-2(a+ab)+(ab-2b)=3
-
已知a^2-4ab+4b^2+2a-4b+1=0,求（a-2b）^2011值
-
求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.+1/(a+2009)(b+2009)的值 A=2 B