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show that in the limit of low frequencies the quantized expression reduces to the classical expression. 5) The classical expression for oscillators is given by:

show that in the limit of low frequencies the quantized expression reduces to the classical expression.
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5) The classical expression for oscillators is given by: Eosc=kBT. The quantized expression for oscillators is given by Eosc=ehv/knT1hv. Show that in the limit of low frequencies (v0) the quantized expression reduces to the classical expression. (Hint: apply I'Hopital's rule once to the quantum expression)

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