Our teachers seem to ignore that, but if I take a limit of a function with square root, for example:
$$\lim\_{x \to 4}{(\sqrt x-2)}$$ is it appropriate to say that there are two answers? $0$ and $-4$?

Because in the solutions they gave us, nobody mentions the fact that $\sqrt {x^2}=|x|$, and they only say that the answer is the positive result. In the example - $0$.

Is it correct? if so, why?

Thank you.