Limit point of a set

Okay kiddo, have you ever collected rocks before? Picture all the rocks you have collected in a bucket. Each rock in the bucket is a point in a set.

Now, let's say you want to find out if there are any rocks in your bucket that are really close together, like if some rocks are almost on top of each other. That's what a limit point is - it's a point in a set where other points in the set are really close to it.

So, if you look in your bucket and see a bunch of rocks that are almost touching, you have found a limit point! And if there are no rocks that are really close together, then there is no limit point in your set.

Just like how the rocks in your bucket can be different sizes and colors, limit points can be different too - they can be any point in a set where other points are clustered together.