1、a=2,b=1
1/ab+1/(a+1)(b+1)+...+1/(+2004)(b+2004)=1/1*2+1/2*3+1/3*4+...+1/2005*2006=
1-1/2+1/2-1/3+1/3-1/4+.+1/2005-1/2006=1-1/2006=2005/2006
2、a=-2,b=-1和上述一样.
1、a=2,b=1
1/ab+1/(a+1)(b+1)+...+1/(+2004)(b+2004)=1/1*2+1/2*3+1/3*4+...+1/2005*2006=
1-1/2+1/2-1/3+1/3-1/4+.+1/2005-1/2006=1-1/2006=2005/2006
2、a=-2,b=-1和上述一样.