原式=(1-1/2)+(1-1/6)+......+(1-1/9900) =99-(1/2+1/6+....+1/9900) =99-(1/1×2+1/2×3...
1/2=1-(1/2)=1-(1-1/2)5/6=1-1/6=1-(1/2-1/3)同理就可以知道原题=99-(1-1/100)