试求:(1+1/2)(1+1/4)(1=1/16)(1+1/256)
问题描述:
试求:(1+1/2)(1+1/4)(1=1/16)(1+1/256)
答
(1+1/2)(1+1/4)(1+1/16)(1+1/256)=2*(1-1/2)(1+1/2)(1+1/4)(1+1/16)(1+1/256)=2*(1-1/4)(1+1/4)(1+1/16)(1+1/256)=2*(1-1/16)(1+1/16)(1+1/256)=2*(1-1/256)(1+1/256)=2*(1-1/(256*256))=...