Question

谁帮忙解这道题？急急急！！！

丨ab-2丨+丨b-1丨=0，试求
ab分之一+（a+1)(b+1)分之一+.......+（a+2008)(b+2008)分之一的值！要过程！谢谢~！

Answer 1

b=1,a=2
ab分之一+（a+1)(b+1)分之一+.......+（a+2008)(b+2008)分之一
=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

Answer 2

∵|ab-2|+|b-1|=0
ab-2=0
b-1=0
解得：a=2,b=1

1/ab+1/(a+1)(b+1)+...+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