如果A#B=(A+B)/AB,那么1#2-2#3+3#4-.-2002#2003+2003#2004=?

问题描述:

如果A#B=(A+B)/AB,那么1#2-2#3+3#4-.-2002#2003+2003#2004=?

a#b=1/a+1/b
1#2-2#3+3#4-.-2002#2003+2003#2004
=1+1/2-(1/2+1/3)+(1/3+1/4).-(1/2002+1/2003)+(1/2003+1/2004)
=1+1/2004
=2005/2004