While 循环 (Python 3.7.4)

Question

我是一名刚接触 Python 编程的学生，我在理解如何让 Python 使用这个 While 循环来处理给我的方程式时遇到了问题。

问题说明：

a^x 可以使用以下系列进行评估： a^x = 1 + x*ln(a) + ((x*ln(a))^2/2! + ((x*ln(a))^3/3! + ... + ((x*ln(a))^n/n!

a = 1.52

x = 3.14

继续您的系列，直到绝对项小于 10^-6 或您已计算出 100 个项。

输出你的a^x系列，使用的词条数（n）

我在 Python 3.7.4 上的尝试：

from math import *

outFile = open("HW3out.txt", "a")
print("Problem 4 soln",file = outFile)

maxt = 100
tol = 1e-6
x = 3.14
a = 1.52
z = (x*log*a)

term = z
n = 1
sum = z

while abs(term) < tol and n < maxt:
   n = n+1
   term = (x*log*a)**n/n
   sum = sum + term

a**x = sum
diff = a**x - a

print("a^x", a**x, " Correct Value ", a, file = outFile)
print("x ", x, "n ", n, "term ", term, "diff ", diff, file = outFile)

outFile.close()`

我知道我的代码有问题，但我不明白是什么。我使用了我教授的例子，他在课堂上做了一个不同的方程，但我仍然不知道我做错了什么。

Answer 1

回过头来看反馈，发现问题之一是我的

a**x = sum

我删除了，其他人建议我使用 term = term*z**n/n 而不是 term = (x*log*a)**n/n 这是我的新文件现在的样子：

from math import *

outFile = open("HW3out.txt", "a")
print("Problem 4 soln",file = outFile)

maxt = 100
tol = 1e-6
x = 3.14
a = 1.52
z = (x*log(a))

term = z
n = 1
sum = z

while abs(term) < tol and n < maxt:
   n = n+1
   term = term*z**n/n
   sum = sum + term


diff = a**x - a

print("a^x", a**x, " Correct Value ", a, file = outFile)
print("x ", x, "n ", n, "term ", term, "diff ", diff, file = outFile)


outFile.close()

我来自我的outFile

Problem 4 soln
a^x 3.7238215950300577  Correct Value  1.52
x  3.14 n  1 term  1.314750451454701 diff  2.2038215950300577

我认为这是正确的，因为程序现在终于可以正常运行了