1. **Problem Statement:** Determine which graphs satisfy the limit condition $$\lim_{x \to 3} g(x) = 5$$. This means as $x$ approaches 3, the values of $g(x)$ approach 5. 2. **Understanding Limits:** The limit $$\lim_{x \to a} g(x) = L$$ means that as $x$ gets arbitrarily close to $a$ (from both sides), $g(x)$ gets arbitrarily close to $L$. The actual value of $g(a)$ does not affect the limit. 3. **Graph A (bottom-left):** The graph shows an open circle at $(3,5)$, meaning $g(3)$ is not defined or not equal to 5, but the values of $g(x)$ near 3 approach 5. This satisfies $$\lim_{x \to 3} g(x) = 5$$. 4. **Graph 1 (top-left):** Near $x=3$, the graph has a filled circle at $(3,3)$ and the function value at 3 is 3. The values approaching 3 from the left approach 4, not 5, and from the right the function is not defined beyond 3. So the limit does not approach 5. 5. **Graph 2 (center):** The graph has an open circle at $(3,5)$ and a filled circle near $(3,4.5)$. The values of $g(x)$ near 3 approach 5 (from the left), so the limit is 5. **Final answer:** Graphs A and 2 satisfy $$\lim_{x \to 3} g(x) = 5$$.