This is a situation where when we take the limit we get infinity over infinity, or negative infinity or positive infinity over positive or negative infinity.

In fact, it goes racing down to negative infinity.

And I just try to solve for y and see what happens when x approaches positive or negative infinity.

And when I say by indeterminate form I mean that when we just take the limit as it is, we end up with something like 0 0, or infinity over infinity, or negative infinity over infinity, or maybe negative infinity over negative infinity, or positive infinity over negative infinity.

It's going off to infinity plus infinity, minus infinity.

And then separately, down here, the limit as x approaches 0 from the negative direction of 1 x equals negative infinity.

It pops up to infinity.

Is it infinity?

0 to infinity.

Well x is, you know, infinity minus any constant is still going to be infinity, or if the limit is t approaches infinity, x is still going to be infinity here.

I mean, we could put it from minus infinity to infinity, it doesn't matter.

Negative two is here. It's more negative than negative two.

limit as x approaches c of g of x is equal to positive or negative infinity, and the limit of I guess you could say the quotient of the derivatives exists, and the limit as x approaches c of f prime of x over g prime of x is equal to L.

Isn't it just infinity?

It's not just infinity.

Doesn't this equal infinity?

And it does tend to infinity.

And we only care from zero to infinity, so I'll only do it from zero to infinity.

Once again, infinity is important.

I said from zero to infinity.

That's infinity, isn't it?

Surely surely it's infinity.

Welcome to the presentation on adding and subtracting negative numbers.

Well, once again, this is only defined for non negative numbers.

This negative and that negative cancel out, but we still have that negative out there, so it's 9 minus 4, times 6.

The negatives cancel out.

We have some negative charges out here.

learn about negative exponents.

Well then you start going to the negative numbers.

The negatives cancel out.

But then you take the negative of it.

The negatives cancel out.

So the negatives cancel out.

I'll put some negative values.

Because obviously you can't evaluate infinity, but you could take the limit as something approaches infinity.

So when you evaluate it at infinity, when you evaluate this at infinity, you're going to get 0.

So what is the limit at infinity?

So that's this evaluated at infinity.

But even that number is minuscule compared to another number infinity.

like square root of two and pi, the infinity of irrationals is actually greater than the infinity of fractions.

You take the negative sign and it becomes positive.

We can distribute the negative sign.

To OH minus plus sodium cation.

Let's just take that minus out.

Because negative, like charges repel each other.