1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2012)(b+2012)=?快又好送分!

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1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2012)(b+2012)=?快又好送分!1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a

1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2012)(b+2012)=?快又好送分!
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2012)(b+2012)=?
快又好送分!

1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2012)(b+2012)=?快又好送分!
a=1 b=2
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2012)(b+2012)
=1/1x2+1/2x3+1/3x4+……+1/2003x2004
=1-1/2+1/2-1/3+1/3-1/4+……+1/2003-1/2004
=1-1/2004
=2003/2004