(1+3分之1)*(1+3的2次方分之1)*(1+3的4次方分之1)*(1+3的8次方分之1)(1+1/3)*(1+1/3^2)*(1+1/3^4)*(1+1/3^8)=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/16 15:31:41
(1+3分之1)*(1+3的2次方分之1)*(1+3的4次方分之1)*(1+3的8次方分之1)(1+1/3)*(1+1/3^2)*(1+1/3^4)*(1+1/3^8)=?
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(1+3分之1)*(1+3的2次方分之1)*(1+3的4次方分之1)*(1+3的8次方分之1)(1+1/3)*(1+1/3^2)*(1+1/3^4)*(1+1/3^8)=?
(1+3分之1)*(1+3的2次方分之1)*(1+3的4次方分之1)*(1+3的8次方分之1)
(1+1/3)*(1+1/3^2)*(1+1/3^4)*(1+1/3^8)=?

(1+3分之1)*(1+3的2次方分之1)*(1+3的4次方分之1)*(1+3的8次方分之1)(1+1/3)*(1+1/3^2)*(1+1/3^4)*(1+1/3^8)=?
(1+1/3)(1+1/3^2)(1+1/3^4)(1+1/3^8)
=(1-1/3)(1+1/3)(1+1/3^2)(1+1/3^4)(1+1/3^8)÷2/3
=(1-1/3^2)(1+1/3^2)(1+1/3^4)(1+1/3^8)×3/2
=(1-1/3^4)(1+1/3^4)(1+1/3^8)×3/2
=(1-1/3^8)(1+1/3^8)×3/2
=(1-1/3^16)×3/2
=3/2-1/(2×3^15)

2394400/3的15次方

这样才清楚,2394400/3的15次方