The question is to determine the limit of the function $m(x)$ as $x \to 0$ using the given graph.

Analysis:

1. As $x \to 0^-$ (approaching 0 from the left), the function $m(x)$ approaches a value of $2$.
2. As $x \to 0^+$ (approaching 0 from the right), the function $m(x)$ also approaches $2$.
3. Since the left-hand limit ($\lim_{x \to 0^-} m(x)$) and right-hand limit ($\lim_{x \to 0^+} m(x)$) are equal, the overall limit exists and is equal to $2$.

Conclusion:

$\lim_{x \to 0} m(x) = 2$

Would you like me to explain further why the left-hand and right-hand limits must match for the limit to exist, or do you have any other questions?

Related Questions:

1. How do you calculate left-hand and right-hand limits from a graph?
2. What happens if the left-hand and right-hand limits are not equal?
3. What is the significance of discontinuities in determining limits?
4. How do open or closed circles affect the limit of a function?
5. Can the limit exist even if the function is undefined at the point?

Tip: Always check both sides of the graph near the point of interest to confirm the behavior of the function.