Homework6

Week 6 due 9/11.
Chapter 8 appendix exercises 1 (give proofs, for part a just do alpha = 1/3), 2a,b,c (for c, give an example where f is bounded but g is not).
Also prove that 1/x is not uniformly continuous on (0,1).
Optional: Chapter 8A problem 4. Additionally, must a continuous function on [0,infty) that converges to a finite limit at infinity be uniformly continuous?