(1+1/2)(2+1/4)(1+1/16)(1+1/256)

问题描述:

(1+1/2)(2+1/4)(1+1/16)(1+1/256)

(1+1/2)(1+1/4)(1+1/16)(1+1/256)=(1-0.5)(1+0.5)(1-0.25)(1+0.25)(1+1/16)(1+1/256)/(1-0.5)=1-1/256^2