I thought about two definitions of a limit point of a set: (1) p is a limit point of S iff p is the limit of distinct points of S; (2) p is a limit point of S iff it is an adherent point of S\setminus \{p\}. I tried to prove these were equivalent, and I think I succeeded. (The former definition is mentioned in Pugh’s analysis book; the latter is from Tao’s book.)

I did more problems out of Intermediate Counting & Probability. I did all of chapter 1 (review of basics) just to make sure I could do the problems.