计算:(1+1/2^32)(1+1/2^16)(1+1/6^8)(1+1/2^4)(1+1/2^2)(1+1/2) .

问题描述:

计算:(1+1/2^32)(1+1/2^16)(1+1/6^8)(1+1/2^4)(1+1/2^2)(1+1/2) .

原式=:〔(1+1/2^32)(1+1/2^16)(1+1/6^8)(1+1/2^4)(1+1/2^2)(1+1/2)(1-1/2)〕/(1-1/2)= [(1+1/2^32)(1+1/2^16)(1+1/6^8)(1+1/2^4)(1+1/2^2)(1-1/2^2)]/(1-1/2) =[(1+1/2^32)(1+1/2^16)(1+1/6^8)(1+1/2^4)(1-1/2...