这个是分母加倍的加法,规律如下
1/2=1-1/2
1/4=1/2-1/4
1/8=1/4-1/8
.
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256
=1-1/2+1/2+1/4+1/4-1/8..+1/128-1/256
=1-1/256
=255/256
这个是分母加倍的加法,规律如下
1/2=1-1/2
1/4=1/2-1/4
1/8=1/4-1/8
.
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256
=1-1/2+1/2+1/4+1/4-1/8..+1/128-1/256
=1-1/256
=255/256