But before we kind of prove that this, if we take the limit as, let me change colors, before we prove that as we take the limit as this number right here, the number of intervals approaches infinity, that this becomes the Poisson distribution, I'm going to make sure we have a couple of mathematical tools in our belt. So the first is something that you're probably reasonably familiar with by now, but I just want to make sure that the limit as x approaches infinity of 1 plus a over x to the x power is equal to e to the a x. No, sorry, is equal to e to the a. And just to prove this to you, let's make a little substitution here. Let's say that n is equal to, let me say 1 over n is equal to a over x, and then what would be x would be equal to n a, right, x times 1 is equal to n times a. And so the limit as x approaches infinity, what does a approach? a is, sorry, as x approaches infinity, what does n approach?