Math 3000 Final Review Sheet
My advice for preparing for the nal exam:
First go over all three exams and make sure you can do every problem. If I thought it was
important enough to be an exam, I might
Math 3000 Homework
Prove the following using the - denition of limit. Do not use properites of limits. Assume
that f : A R where A R is the largest possible domain for the given formula.
1. Prove lim
Topics covered on Exam 3
Bolzano-Weierstrass Theroem know the statement and be familiar with the proof
Nested Interval Theorem know the statement and be familiar with the proof
Definition of a relatio
Math 3000 Homework
In topology there is a concept called connected. The denition is that a set S is connected if for
any cover of S by two open sets U and V , with the property that S U V = , one of t