I am not 100% sure about this, but I think that ln(0)^2 does not count as an indeterminate form. There are a specific set of situations and they all involve more than one term. See this Wiki page on it:

Indeterminate form - Wikipedia, the free encyclopedia

Now as for your limit, remember that ln(x) is not defined for . You have a horizontal shift from ln(x) but the concept still applies. When you graph your equation you should not see anything from x=-5 and below, thus the limit from the left hand side DNE. That is not a rigorous proof of course but it sounds like you more so need an explanation than proof.