化简:(1+2^1/32)(1+2^1/16)(1+2^1/8)(1+2^1/4)(1+2^1/2)

来源:学生作业帮助网 编辑:作业帮 时间:2024/08/03 22:29:02
化简:(1+2^1/32)(1+2^1/16)(1+2^1/8)(1+2^1/4)(1+2^1/2)
x){3{famgol~Omh eY&0MR>eP }}ٓ3hxcUQ X}d}ZŴAs"8Hl$6`ma"(FP< M0!KA@M,0]X<;P<

化简:(1+2^1/32)(1+2^1/16)(1+2^1/8)(1+2^1/4)(1+2^1/2)
化简:(1+2^1/32)(1+2^1/16)(1+2^1/8)(1+2^1/4)(1+2^1/2)

化简:(1+2^1/32)(1+2^1/16)(1+2^1/8)(1+2^1/4)(1+2^1/2)
原式左乘一个[1-2^(1/32)]/[1-2^(1/32)]得
[1-2^(1/32)]*[1+2^(1/32)]*[1+2^(1/16)]*[1+2^(1/8)]*[1+2^(1/4)]*[1+2^(1/2)]/[1-2^(1/32)]
=[1-2^(1/16)]*[1+2^(1/16)]*[1+2^(1/8)]*[1+2^(1/4)]*[1+2^(1/2)]/[1-2^(1/32)]
=[1-2^(1/8)]*[1+2^(1/8)]*[1+2^(1/4)]*[1+2^(1/2)]/[1-2^(1/32)]
=[1-2^(1/4)]*[1+2^(1/4)]*[1+2^(1/2)]/[1-2^(1/32)]
=[1-2^(1/2)]*[1+2^(1/2)]/[1-2^(1/32)]
=(1-2)/[1-2^(1/32)]
=1/[2^(1/32)-1]