(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)
答
(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
(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