It's saying as x gets closer and closer to 2... as you get closer and closer and this isn't a rigorous definition, we'll do that in future videos as x gets closer and closer to 2, what is g(x) approaching?

It just gets closer and closer and closer, arbitrarily close to the asymptote.

But, of course, we want to find the limit at this point gets closer and closer to this point, and this point gets closer and closer to that point.

And you can see it visually just by drawing the graph. As g gets closer and closer to 2...

It gets closer and closer 40,000 years ago, we're still doing cave paintings.

And if you come as you get closer and closer, this does it does, I absolutely agree this gets bigger and bigger.

There is jeopardy, and of course, the closer you get, it gets harder.

This gets closer to the cause of causes.

So as x gets closer and closer to 1... what is the function approaching?

But then as it gets closer to the tree,

The closer one gets, the more new features one discovers.

Sourcing the letter gets us closer to the fuller story.

And as we gets closer and closer to 0, it spikes up, and it goes to positive infinity.

We said hey, what if we take the limit as this point right here gets closer and closer to this point.

Each time you're closer, it gets bigger, down to very, very small distances.

See, the closer I get to this antenna, the higher the note gets and you can get it really low.

See, the closer I get to this antenna, the higher the note gets (Portamento) and you can get it really low.

So once again, has very fancy notation, we're just saying, Look, what is the function approaching as x gets closer and closer to 1?

But then as it gets closer to the tree, look at the close up. And see if you can see it land.

And I'm writing the 2x first just because that gets us closer to the mx b form.

This distribution of brand energy gets your brand closer to the people, more in with the people.

If x gets here then it goes here, and as we get closer and closer to a, f of x approaches this point I, or this value l.

And you'll see that the larger numbers you get, you just get closer and closer and closer to this number e.

You know how she gets when she gets mad.

You are closer than you know.

It's closer than you think.

How can you come closer?

Can't you get in closer?

You want a closer look?

You have to get closer.

What gets you angry?

Really gets you thinking.

You get them closer and closer and closer and then at some point the strong force grips them together.

If you just follow along the curve, as you approach f of 2, you get closer and closer to 4.

And this tiger about whom you were speaking to me comes closer and closer.

I am behind you. Get closer.

You must not come closer, Father.

You gotta look a little closer.

Couldn't you get a little closer?

Gets you thinking about color.

Still, it gets to you.

That hokeypokey gets you killed.

So in this video I'll attempt to explain to you a definition of a limit that has a little bit more, or actually a lot more, mathematical rigor than just saying you know, as x gets closer to this value, what does f of x get closer to?

And as you get closer and closer, the value goes racing off in this direction.

There is no one limit as you get closer and closer to dividing by 0.