Evaluating limits with tables is really important when you're beginning to learn about limits in pre-calculus. Here’s why it matters:

1. Seeing is Believing: When you make a table of values as you get close to a certain point, you can actually see how the function acts. For example, if you're looking at the limit when $x$ is close to 2, you can use numbers like $1.9$, $1.99$, $2.1$, and $2.01$. This helps you see how near you get to the limit.

2. Building Blocks for the Future: This method helps you prepare for tougher topics like continuity and derivatives. Limits are everywhere in calculus! If you understand them well, future topics will seem easier.

3. Number Crunching: Sometimes, you can’t easily find a limit using algebra, or it gets confusing. Using tables helps you guess limits with numbers and understand what the function is doing. This skill is super important for calculus!

4. Boosting Your Confidence: Lastly, getting used to limits with tables makes you feel more confident. You learn to dig into problems, which is what math is all about—solving puzzles one step at a time!