Homework for Math 362A
Spring, 2008


Problem Set

Chapter

Problems

07 ∗17 Suppose that (an ) and (bn ) are sequences of real numbers satisfying the condition that, for each choice of positive integers m, n, we have anbm. Prove that
      sup {an | n = 1, 2, ...} ≤ inf {bm | m = 1, 2, ...}.
∗18 Prove S.3.
3 5

Notation

n manditory problem
∗n manditory problem, not from text
(n) helper problem
[n] ungraded problem
[∗n] ungraded problem, not from text
{n} optional problem