Limits are really important for understanding something called continuity. Here’s what I learned about them:

1. What is Continuity?
   A function is considered continuous at a point called ( a ) if the limit as ( x ) gets really close to ( a ) is the same as the function's value at ( a ). We can write it like this:
   $\lim_{x \to a} f(x) = f(a)$

2. Seeing How Functions Behave:
   Limits help us understand how a function acts as it approaches a certain point, even if it never actually reaches that point.

3. Why It Matters in Calculus:
   Understanding limits is the first step in learning calculus. It makes working with functions easier as we move on in math.

So, limits are the tools that help us explore the idea of continuity, which is super important as we continue our journey in math!