One-sided limits are an interesting idea in calculus that help us see how functions act from different sides. When you look at a point on a graph, you can come to that point from the left or the right.

Here’s a simple breakdown:

• Left-Hand Limit: This is when you check the values of the function as you get closer to a point from the left side. We write this as $\lim_{x \to c^-} f(x)$.

• Right-Hand Limit: This is when you look at the point from the right side. It's written as $\lim_{x \to c^+} f(x)$.

Why They Are Important:

• Understanding Function Behavior: Sometimes functions act differently on each side of a point. This can show us things like breaks or jumps in the function.

• Preparing for Derivatives: One-sided limits are super important when you learn about derivatives later. They help you understand slopes at specific points.

In short, one-sided limits give us a clearer picture of how functions behave!