And then if we take e to an infinitely negative number, well then that does approach something.

Eventually, you're not even going to see this.

I'm taking us closer to the nucleus.

He's thinking about it.

They're closing.

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

It's going to get closer and closer, and then here it's going to get closer and closer in that direction.

They're still closing.

And then finally, a lot of technologies commoditize.

These are bounded between 0 and negative 1.

Robinson is coming too fast.

You got too close.

As you go from the right hand side, you go along the curve, and f of x is also slowly approaching 4.

Then there is a rustle in the brush.

So from this guy's point of view, this train is approaching with the velocity let me do, is approaching with the velocity vA plus vB.

Our men are too close to the walls.

Better not get too close.

You're too close to this.

Approaching visual range.

And here, it's going to keep getting closer and closer to the asymptote on that side and then on that side.

I mean, if we get too close to him,

Princess, someone is coming. Up the driveway, with lanterns lighted.

Three ships closing on our position.

It is so easy

It's still coming.

If he tries to cross the water, shoot him down!

So when you've evaluate what's the limit of this as t approaches infinity?

less than one percent of the ocean's protected.

My grandparents pushed that number to 70.

Because I could actually use some of that real estate.

Fergus, it was too fucking near, mate. Ask Walker.

We can make a chicken with teeth.

And on the weekend we ran the parts for that.

So as you see, as I make n larger and larger in this original equation, I approach this magical number.

You are too close!

We're getting close.

Only if s is greater than zero, when you get a minus infinity here does this approach zero.

And this is a burglar alarm.

Essentially it becomes one dimensional, we lose our 2 dimensionality

The mountain is easy of access.

Stay away from here, now. Don't, don't, don't come in here.

All right. gt gt gt Yooo! San Francisco! Cheers and applause gt gt gt All right.

The tower was easy of access.

So as x approaches infinity.

With every hour that passes, peril draws closer.