I'm studying for the qualifying exam and I came accross a problem that I'd be able to do in a snap if I had a computer running mathematica in front of me, but regretably Im having trouble with using good old paper and pencil and a reasonable amount of time. I want to look at the low and high temperature behaviour of the function(adsbygoogle = window.adsbygoogle || []).push({});

(deltaE)^2 = C*[sinh(a*B)]^-2

where B = 1/T and the rest are constants. I would like to know not just the limit, but the behaviur of the function. ie I could get that in the high T small B limit the function goes like T^2, Im having difficulty with the low T, high B limit. This is connected with the energy fluctiations of a quantum harmonic osccillator if anyone wants a reference point.

Any ideas?

thanks

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# Expanding Functions

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