HDU ACM1012——u Calculate e

u Calculate e

Problem Description

A simple mathematical formula for e is

where n is allowed to go to infinity. This can actually yield very accurate approximations of e using relatively small values of n.

Output

Output the approximations of e generated by the above formula for the values of n from 0 to 9. The beginning of your output should appear similar to that shown below.

Sample Output

n e
———–
0 1
1 2
2 2.5
3 2.666666667
4 2.708333333

#include <stdio.h>  
int main ()  
{  
    int i;
    printf("n e\n");  
    printf("- -----------\n");  
    printf("0 1\n");  
    printf("1 2\n");  
    printf("2 2.5\n");  
    double result = 2.5 ;  
    double p = 0.5;  
    for(i = 3; i <= 9; ++ i )  //根据公式计算即可
    {  
        p /= i;  
        result += p;  
        printf("%d %.9f\n", i , result);  
    }  
    return  0;  
}