Re: [其他] 請教一題證明題
※ 引述《heroherog (唯一)》之銘言：
: 題目是
: 1 3 5 2n-1 1
: ── * ── * ── * ...... * ── < ─
: 2 4 6 2n 10
: 請問 n = ? 成立 ，並證明之。
: 除了硬算之外我真的想不到怎麼解...
: 拜託高手幫忙，感激不盡
#include<stdio.h>
int main(){
double m=1.0;
int i;
for(i=1;m>=0.1;i+=2){
m*=(double)i/(double)(i+1);
printf("i = %d, m = %lf\n", i, m);
}
return 0;
}
i = 1, m = 0.500000
i = 3, m = 0.375000
i = 5, m = 0.312500
i = 7, m = 0.273438
i = 9, m = 0.246094
i = 11, m = 0.225586
i = 13, m = 0.209473
i = 15, m = 0.196381
i = 17, m = 0.185471
i = 19, m = 0.176197
i = 21, m = 0.168188
i = 23, m = 0.161180
i = 25, m = 0.154981
i = 27, m = 0.149446
i = 29, m = 0.144464
i = 31, m = 0.139950
i = 33, m = 0.135834
i = 35, m = 0.132061
i = 37, m = 0.128585
i = 39, m = 0.125371
i = 41, m = 0.122386
i = 43, m = 0.119604
i = 45, m = 0.117004
i = 47, m = 0.114567
i = 49, m = 0.112275
i = 51, m = 0.110116
i = 53, m = 0.108077
i = 55, m = 0.106147
i = 57, m = 0.104317
i = 59, m = 0.102578
i = 61, m = 0.100924
i = 63, m = 0.099347 <- 2n - 1 = 63, n = 32
--
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