So I understand the concept of epsilon delta limit proofs with linear functions, easy enough, and I am still shaky about doing it with non linear but I am slowly understanding that. I don't quite understand how to tackle them with you have infinity involved. My professor uses M's and N's and I really don't know what these are supposed to represent in terms of the technical definition we are using here.
One of the problems I have to look at is: $\lim_{x \to \infty} e^x = \infty$
Can anyone give me some other similar examples, not necessarily with $f(x) =e^x$, but any of these proofs that involve infinity, because the normal definition no longer works as written and I don't really know where to begin.
Any resources you can provide me to learn more about this would be greatly appreciated!