1. **State the problem:** We want to evaluate the limit $$\lim_{x \to 4} (x + 2)$$ using a table of values. 2. **Recall the limit concept:** The limit of a function as $$x$$ approaches a value is the value that the function approaches as $$x$$ gets closer and closer to that number. 3. **Set up a table of values:** Choose values of $$x$$ approaching 4 from both sides (left and right). | $$x$$ | $$x + 2$$ | |-------|-----------| | 3.9 | 3.9 + 2 = 5.9 | | 3.99 | 3.99 + 2 = 5.99 | | 3.999 | 3.999 + 2 = 5.999 | | 4 | 4 + 2 = 6 | | 4.001 | 4.001 + 2 = 6.001 | | 4.01 | 4.01 + 2 = 6.01 | | 4.1 | 4.1 + 2 = 6.1 | 4. **Analyze the table:** As $$x$$ approaches 4 from both sides, $$x + 2$$ approaches 6. 5. **Conclusion:** Therefore, $$\lim_{x \to 4} (x + 2) = 6$$ This matches the red dot plotted at approximately (4, 6) on the graph, confirming our result.