下列程序用公式:e=1+1/1!+1/2!+1/3!+1/4!+……计算e常数,要求误差小于10-8,输出结果小数点后保留8位,程序运行输出为:2.71828183
时间: 2023-09-27 22:12:10 浏览: 61
以下是求解e的Python代码,使用了公式:e = 1 + 1/1! + 1/2! + 1/3! + 1/4! + ...
```python
import math
def calculate_e():
e = 1
factorial = 1
i = 1
while True:
factorial *= i
term = 1/factorial
e += term
if math.fabs(term) < 1e-8:
break
i += 1
return round(e, 8)
print(calculate_e())
```
输出结果为:2.71828183
相关问题
c语言3.+编写程序计算下列S的值。 (1)+S=1-1/2+1/3-1/4+1/5+……-1/100 (2)+S=1!+2!+3!+……10! (3)+S=1/2+2/3+3/5+5/8+……++(
以下是三个C语言程序,分别计算了三个不同的数学公式的值:
1.计算1-1/2+1/3-1/4+1/5+……-1/100的值
```c
#include <stdio.h>
#include <stdlib.h>
int main()
{
int n = 100;
double sum = 0;
int flag = 1;
for (int i = 1; i <= n; i++)
{
sum += flag * 1.0 / i;
flag = -flag;
}
printf("%.4lf", sum);
return 0;
}
```
2.计算1!+2!+3!+……10!的值
```c
#include <stdio.h>
#include <stdlib.h>
int main()
{
int n = 10;
int sum = 0;
int fac = 1;
for (int i = 1; i <= n; i++)
{
fac *= i;
sum += fac;
}
printf("%d", sum);
return 0;
}
```
3.计算1/2+2/3+3/5+5/8+……的值
```c
#include <stdio.h>
#include <stdlib.h>
int main()
{
int n = 20;
double sum = 0;
int a = 1, b = 2;
for (int i = 1; i <= n; i++)
{
sum += (double)a / b;
int temp = b;
b = a + b;
a = temp;
}
printf("%.4lf", sum);
return 0;
}
```
用JAVA编程序按下列公式计算e的值(精度为1e-6)e=1+1/1!+1/2!+1/3!+……1/n!
好的,我明白了。关于您的问题,可以使用以下JAVA代码计算e的值:
```
public static void main(String[] args) {
double e = 1.0, factorial = 1.0;
int n = 1;
while (1.0 / factorial > 1e-6) {
factorial *= n;
e += 1.0 / factorial;
n++;
}
System.out.println("e = " + e);
}
```
在这段代码中,我们使用循环计算1/n!的和,直到它的值小于精度为1e-6。最终结果将输出e的值。
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