Stirling's approximation for ln (N!) is Determine the validity of this approximation and of the less accurate

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Stirling's approximation for ln (N!) is

In (N!) 1 In (27 N) + N In (N) – N. =

Determine the validity of this approximation and of the less accurate version

ln (N!) ≈ N ln (N) − N

for several values of N up to N = 100. Use a calculator, Excel, or Mathematica.

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