1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024=(1-1/2)+(1/2-1/4)+(1/4-1/8)+......+(1/512-1/1024)=1-1/2+1/2-1/4+1/4-1/8+......+1/512-1/1024=1-1/1024=1023/1024
图
1023/1024
