I need to solve the following equation in Python
N is an integer and positive value. Calculate and show the value of E according to the following formula:
E = 1 + 1/1! + 1/2! + 1/3! + ... + 1 / N!
My attempt:
n = int(input("Digite o valor de B: "))
e = 1
i = 1
while (i <= n):
fat = 1
j = 1
while (j <= i):
fat = fat*j
e = e + 1/fat
break
break
print("Valor de E = ", e)
In python, break does not end the loop, but stops immediately. Unlike other languages, you do not have a keyword of type fim-while or something similar. The compiler / interpreter knows where while ends up looking at the indentation.
In addition, you had forgotten to increment the values i and j .
Another error was that e = e + 1/ fat should be after internal while , not inside it.
Another detail is what you're reading is a N value, not a B value.
And I also put a print() more to break a line before showing the output.
Here's how your code gets with these fixes:
n = int(input("Digite o valor de N: "))
e = 1
i = 1
while (i <= n):
fat = 1
j = 1
while (j <= i):
fat = fat * j
j = j + 1
e = e + 1 / fat
i = i + 1
print()
print("Valor de E =", e)
When you enter 25 as the value of N , here's the output:
Valor de E = 2.7182818284590455