(1-1/4)(1-1/9)(1-1/16).......(1-1/10000)
来源:百度知道 编辑:UC知道 时间:2024/05/18 03:54:19
原题。(1-1/2^2)(1-1/3^2)(1-4^2)…(1-1/100^2)
101/200
同学你拆什么 原题就可以转化为
(1-1/2)(1+1/2)(1-1/3)(1+1/3)……(1-1/100)(1+1/100)
(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)……(1-1/100)(1+1/100)
=(1/2)*(3/2)*(2/3)*(4/3)*(3/4)……*(101/100)=0.505
(1-1/4)(1-1/9)(1-1/16).......(1-1/10000) =(1-1/2^2)(1-1/3^2)......(1-1/100^2) =(1-1/2)(1+1/2)(1-1/3)(1+1/3).....(1-1/100)(1+1/100) =1/2*3/2*2/3*4/3.....99/100*101/100 =101/2
(1-1/2)(1-1/3)(1-1/4)(1-1/5).....(1-1/1000)
(1-1/4)(1-1/9)(1-1/16)^(1-1/4008004)(1-1/4012009)
1+1/2+1+1/3+1+1/4+......+1/100=?
(1+1/2+1/3+1/4)×
1/1+1/2+1/3+1/4+。。。。+1/N 是多少
1-1/4 -1/8-1/16-1/32-1/64
1/1+1/2+1/3+1/4+......1/2002=?
1-1/2+1/3-1/4+........1/99-1/100
2008*(1-1/2)*(1-1/3)*(1-1/4)*.....(1-1/2007)*(1-2008)
(1-1/4)(1-1/9)(1-1/16)(1-1/25)(1-1/36)(1-1/49)(1-1/64)(1-1/81)(1-1/100)