How to Prove Stirling's Formula for ln(n!) ?

rcianfar · 2014-02-24T05:36:59+00:00

Homework Statement Prove that ln(n!) = nln(n) - n + ln(2*pi*n)/2 for large n. Homework Equations I've been working on the proof but I just can't get it. Can anyone help me out? The Attempt at a Solution

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.

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Homework Statement

Homework Equations

The Attempt at a Solution

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

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