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

Can't we just cut it in half or a quarter?

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

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

This would be true if instead of saying from the positive direction, we said from the negative direction from the negative direction the function really does look like look like it is... ...the value of the function really does look like look like it is approaching zero

I'm taking us closer to the nucleus.

And the reason is as this term over here becomes very large,

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.

For approaching one from the negative direction, when x is right over here, this is f(x)... ...when x is right over here, this is f(x)... ...when x is right over here, this is f(x) and we see that the value of f(x) seems to get closer and closer to zero

And, somehow, we have to make changes that will bring that down to zero.

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.

If F of X goes to minus infinity, then Z goes to zero.

Z against the horizontal axis is Z. As Z goes to minus infinity, G of

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.

They're being commodified, and that's what happens when things go to zero.

The empirical condition of living under a dollar and 25 is trending down, and look where it gets to by 2030.

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!