化简:(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 00:41:58

化简:(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)
化简:(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)

化简:(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)
设原式子为A
(1-1/2)*A
=(1-1/2)*(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)
=(1-1/2^2)*(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)
……
=1-1/2^32
所以
A=(1-1/2^32)*2