why is the ln(0) -inf?

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[candid valley]

As x approaches zero FROM THE RIGHT SIDE, ln(x) approaches minus zero

[pearl marten]

ln(0) isn't -inf

[candid valley]

Limit as x approaches zero from RHS

Ex: ln(0.00000000000000000000000000001)

[shut heron]

e^(-inf) = 0+
ln(0+) = -inf

[candid valley]

10^(-infinity)