I'm having some difficulties with a problem. Based on the constraints, I have found that the average energy per particle is u = (Eo + E1 e^(-B deltaE)) / (1 + e^(-B deltaE)). I know this is correct. However, I am having problems solving as T approaches 0 and infinity. B = 1/T(adsbygoogle = window.adsbygoogle || []).push({});

It tells me the average energy is about u = Eo + (deltaE)e^(-B delatE) as t approaches 0, and u = (1/2)(Eo + E1) - (1/4)B(delataE)^2 as T approaches infinity. I was able to easily get the first term in these expressions, but how the second term is coming out I have no idea. I was trying taking a derivitive for a while, but I don't believe that that is the way to go. Does anybody have any ideas?

Thanks

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# Homework Help: Statistical Average Energy

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