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When x goes to minus infinity log(x) approaches zero.



No, the logarithm is only defined for positive values. Plus probability densities are strictly non-negative. https://en.m.wikipedia.org/wiki/Logarithm


You're absolutely right! I meant it the other way around:

As x approaches 0, log(x) goes to minus infinity.

I think that's what he means (the next sentence about "visualiz[ing] very small values of a function by expanding their range" makes sense in that context), but I agree it is not very clear.




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