Scaling limit

Okay kiddo, imagine you have a toy car. And now you want to make it bigger, so that it can fit more toy people inside and drive on bigger roads. But if you make it too big, it won't fit inside your toy garage anymore! So what do we do?

Well, scaling limit is kind of like making your toy car bigger, but in a way that lets us still fit it in the garage. We keep making it bigger, but we do it in small steps, so that we can keep track of how much we're changing it. And we check every time we make it a little bigger, to make sure it's still fitting in the garage.

Now let's imagine we're doing this scaled-up toy car experiment on a computer. We could create a program that gradually increases the size of the car, and we can watch how it changes over time. And if we keep track of how much the car is growing at each step, we can calculate what the car might look like if we made it infinitely big.

This idea of finding out what might happen if we make something infinitely big is what we call scaling limit. It's a mathematical concept that helps us understand how things change when we make them bigger and bigger, without actually having to make them infinitely big.

So, in short, scaling limit is like a way to make things bigger in small steps, so we can understand what they might become if we kept making them bigger and bigger and bigger and...okay, you get the point!