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In: Mathematics
Others have shared great answers but a diagram might also help!
[https://www.desmos.com/calculator/jjdybygnyl](https://www.desmos.com/calculator/jjdybygnyl)
This is a diagram of a generalization of factorials called the [Gamma function](https://en.wikipedia.org/wiki/Gamma_function). Anyhow, the closer you get to “0” the closer the Gamma gets to 1. And at every other integer, Gamma is the same as Factorial. It’s a smooth function that connects the Factorials.
Maybe it will confuse more than clarify but I think it’s kind of cool.
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