Understanding graphs is really helpful when learning about limits! Here’s why:

1. Seeing is Believing: Graphs help you see what happens to a function as you get close to a certain point. Instead of just staring at numbers, you can actually observe the shapes and patterns of the functions. This makes it easier to understand limits.

2. Knowing What to Expect: When you look at a graph, it shows you if the function is getting closer to a specific value as you approach a certain point. For example, if you want to find $\lim_{x \to 2} f(x)$, the graph shows you what $f(x)$ is nearing from both sides.

3. Spotting Gaps: Graphs can help you find any breaks or jumps in a function where limits might not exist. This is important to understand things like holes or lines that the function can’t touch.

4. Checking One Side: Graphs are especially helpful for one-sided limits. They make it easier to see how the function behaves from the left side ($\lim_{x \to c^-} f(x)$) or the right side ($\lim_{x \to c^+} f(x)$) of a point.

Overall, using graphs to look at limits is like solving a puzzle. You fit together the clues about the function’s behavior and get a clear view of its limits!