9^9^9^9 Is so large as to have no practical applications, but there's no need to call it infinite, since it is definitely a finite number. Only if you were explaining to a layman about the sheer size of it, would I think it necessary to call it infinity.
I don't get hang overs. Why? I have no idea. I've imbided massive amounts of alcohol only to get fairly drunk, but not a sign of a hang over. Except once. It was Tequila byproduct. It came in a carton, like you might get milk in. It was the worse experience I ever had with liquor. I think instead of a worm in the bottom, it had a cheeto.
Q: What's long, brown, and floats in water? A: A twig. q: What's green and hangs off trees? A: Giraffe boogers. *This evening's jokes are thanks to Mrs. Potts 3rd grade class. Thank you, Steven, you are a comedic light upon the dark ages of humor.