做高数助教被天煞的大一学生坑了,发现是个未解问题,没有解析解。。
用C搞了下,就是这样。。。
No closed-form expression is known for this constant (Finch 2003, p. 8; S. Plouffe, pers. comm., Aug. 29, 2008).
/*****************************************
*@: Nested Radical Constant 嵌套根式常数
*@: http://mathworld.wolfram.com/NestedRadicalConstant.html
*****************************************/
#include "stdafx.h"
#include <stdio.h>
#include <math.h>
void main(void){int N = 10;int idx = 0;double an = 0;double temp = 0;an = sqrt(double(N));for(idx =(N-1);idx >= 1; idx--){temp = idx + an;an = sqrt(temp); }printf("N=%d,an=%f \n",N,an);getchar();
}