Midterms, Midterms, and The Curse of Handheld Computers.
Consider the function f defined on (0,1) by
/ 0 if x is irrational
\ 1/n if x = m/n
where m and n are integers without any common divisors. Prove that f is continuous at every irrational point in (0,1), and that f is discontinuous at every rational point in (0,1).
Pretty tough, eh?
Anyways, as you may have noticed from my last post, I brought a lovely three-year-old handheld computer (a Palm M505) from home. I'm afraid that this device is going to be my downfall, or at least the downfall of my marks. Anyone who has ever played the game "DopeWars" knows how addicting (haha) it can be. That game now fills the time before, after, and during lectures. My notes have become substantially shorter since the Palm came into my life.