Mushtaque Ahamed A Mizzlr
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| ╒═════╤════════════════╤═════════════════════╕ | |
| │ x │ factorial(x) │ math.factorial(x) │ | |
| ╞═════╪════════════════╪═════════════════════╡ | |
| │ 1 │ 0.999575 │ 1 │ | |
| ├─────┼────────────────┼─────────────────────┤ | |
| │ 2 │ 1.99951 │ 2 │ | |
| ├─────┼────────────────┼─────────────────────┤ | |
| │ 3 │ 5.99942 │ 6 │ | |
| ├─────┼────────────────┼─────────────────────┤ | |
| │ 4 │ 23.9991 │ 24 │ |
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| import math, tabulate | |
| def factorial(x): | |
| pi = math.pi | |
| e = math.exp(1) | |
| exponent = -x + pi ** e / (e ** (2 * pi) * x) + \ | |
| pi ** e / (e ** (2 * pi) * x + 2 * pi ** e) | |
| return x ** x * math.sqrt(2 * pi * x) * math.exp(exponent) | |
| if __name__ == '__main__': |
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