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good approximation forln(N!)whenNbecomes large is Stirling's approximation:lnN!!Nln(N)"N. Using Stirling's approximation and the fact that
W=N!, show that the entropy of the polymer of lengthLcan be approximated as N+!N!!
around 0. Remember that the Taylor expansion off(x)aroundais given by: f(x)=f(a)+df!x"a+d2f!(x"a)2+d3f!(x"a)3+....
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