How do black holes destroy information and why is that a problem?

Re:How do black holes destroy information and why is that a ... by OscarCunningham on Tuesday August 27, 2019 @10:52AM (#20810157)

Stirling's approximation says that n! ~ sqrt(2 pi n) (n/e)^n.

So n!/n^n ~ sqrt(2 pi n)e^-n.

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Re:How do black holes destroy information and why is that a ... by hyperpallium on Wednesday August 28, 2019 @03:10AM (#20817573)

Cool! So the 1/e^n factor will bring it to 0, as n goes to infinity, I think?

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Re:How do black holes destroy information and why is that a ... by OscarCunningham on Wednesday August 28, 2019 @06:42AM (#20818476)

Yeah, e^n grows much faster than sqrt(2 pi n), so sqrt(2 pi n)/e^n will tend to 0.

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