- #1
asdf1
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! question...
Why does lnX!=XlnX-X?
Why does lnX!=XlnX-X?
[tex]\log(x!)=\sum_{n=1}^x \log(n) \sim \int_0^x \log(t) dt=x\log(x)-x[/tex]asdf1 said:?
i am referring to the Stirling approximation(sorry, i forgot to add that at the end of my question)...
i saw that equation in the "advanced engineering mathematics" book by kreyszig as part of the solution to a problem...
but what i wonder is how did the stirling approximation come from?
It is a Riemann sum we partition (0,x) into (we assume here x is a natural number)asdf1 said:Why? That's the part that I don't understand...
like HallsofIvy saidasdf1 said:thanks! It makes a lot more sense now...
but there's still one I don't get:
What's the difference between the absolute and relative error?
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