And we're going to go all the way to infinity.

So we assumed that tsif halted, but now we seem to be looping forever.

Well, sine just keeps oscillating, between negative 1 and plus 1, and so does cosine.

But interpreting does not always return.

You have an infinite number of possibilities here and an infinite number of possibilities here.

Is God a cold, unfeeling spectator?

So we get our Laplace transform of t to the n is equal to this evaluated at infinity and evaluated at 0.

Optimists believe that growth will continue forever, without limits.

A approaches infinity.

When t is equal to infinity, what is x?

An Infinity

As it is

We can say that it equals 0, when t does not equal c, so it equals 0 everywhere, but it essentially pops up to infinity.

While all God's sun lit waves rolled by, And lift me deepening down to doom.

This tells me that the area under the function is equal to 1.

So we're going to evaluate this term right here from 0 to infinity.

And I hope you understand what I'm saying, right? e to an infinity negative number approaches 0, while e to an infinitely positive number is just infinity.

Resolution is something that is far more limited.

Actually, we don't have to do it from minus infinity.

And the limit is just what happens as you approach something.

Well as we approach infinity, e to the infinity just gets bigger and bigger and bigger, right?

And then you have to evaluate that from 0 to infinity.

So, even though we're familiar with only a few irrationals,

Repeats indefinitely

It's the limit as A approaches infinity, of minus A s, e to the minus sA.

The answer is 0.

X is

So plus 1 s.

So as x approaches infinity.

And you know when we take the integral, it's going to get infinitely smaller and smaller and we'll have infinitely more and more of them.

But what is this equal to?

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.

Your Dirac delta function is a function of t, and because of this, if you ask what's the limit as tau approaches zero of the integral from minus infinity to infinity of d sub tau of t dt, well, this should still be 1, right?

I'm going to write it in quotes.

And even then God is merciful forgiveness is supreme and so, essentially, better if you don't.

And this height is still going to be infinitely high, but it's infinitely high scaled in such a way that its area is going to be not 1.

How many answers are there to this?

This grammar can generate 8 different words.

So if s is greater than 0, this term is going to win out and go to 0 much faster than this term is going to go to infinity.

So we've offered unlimited storage, unlimited bandwidth, forever, for free, to anybody that has something to share that belongs in a library.

So this is neat.

infinity

forever

infinite

Infinity