1. The problem asks for a reasonable estimate of the limit $$\lim_{x \to -1} g(x)$$ given the graph of the function $g$. 2. The function $g$ is defined for all real numbers except at $x = -1$, so we look at the behavior of $g(x)$ as $x$ approaches $-1$ from both sides. 3. From the graph description, as $x$ approaches $-1$ from the left, the curve approaches the point $(-1, 3)$. 4. Similarly, as $x$ approaches $-1$ from the right, the curve also approaches the point $(-1, 3)$. 5. Since the left-hand limit and right-hand limit both approach the same value $3$, the limit exists and is equal to $3$. 6. Therefore, a reasonable estimate for $$\lim_{x \to -1} g(x)$$ is $$3$$.