[Math] Limit $\lim_{x \to0^-}\ln x$

limits

Can i ask for the limit as $x$ approaches $\lim_{x \to 0-}\ln x$? Please explain. Its because since the limit of a function only exists if the lim as $x$ approaches some number $n$ from both the positive and negative side is the same, im not sure that im convinced that the limit as $x$ approaches $0$ for $\ln x$ exists. i know its negative infinity from the positive side, but from the negative side?

Best Answer

The domain of $\ln(x)$ is only positive reals, so the left-hand limit at 0 doesn't really make sense.

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