1/(2×4)=1/2(1/2-1/4)1/(4×6)=1/2(1/4-1/6)1/(6×8)=1/2(1/6-1/8)……1/(2006×2008)=1/2(1/2006-1/2008)所以原式=1/2[(1/2-1/4)+(1/4-1/6)+(1/6-1/8)+……+(1/2006-1/2008)]=1/2(1/2-1/2008)=1003/4016这种解法称...