已知：字母a,b满足√a-1+√b-2=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+2008)(b+2008)
问题描述：
已知：字母a,b满足√a-1+√b-2=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+2008)(b+2008)
答
a=1 b=2 1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+2008)(b+2008)=1-1/2+1/2-1/3+.1/2008-1/2009+1/2009-1/2010=1-1/2010=2009/2010