Here is the equation I came across during a proof in my Statistical Mechanics textbook.(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\frac{x^3}{3} ln(1-e^{-βx}) = 0[/itex]

where [itex]β = \frac{1}{k_{B}T}[/itex] and [itex]x[/itex] is evaluated from [itex]\infty[/itex] to [itex]0[/itex].

Why does this not diverge? Is it an estimation?

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# Why does this not diverge when x = inf?

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