1. Write the definition of infimum by modeling it on the definition of supremum. State Lemma 1.3.7 for Infimums. 2. Let s = inf(A) and define -A = {-x : x A}. Prove that sup(-A) = -s. 3. Prove that inf {1 +
1 n2
: n N} = 1 using Lemma 1.3.7. 1+ 1+
Mat 314
Review for Exam 2
February 28, 2008
The second exam will be on Thursday, March 6. The exam will cover chapters 3 and 4. In chapter 3, we covered sections 3.1-3.3. In chapter 4, we covered 4.1-4.4. You definitely should know the definitions
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