MATA31H3 Study Guide - Final Guide: Natural Number, Negative Number, Intermediate Value Theorem
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Carefully tear this page off the rest of your exam. Notation and lemmas supa, the supremum of a, is the least upper bound of a. inf a, the in mum of a, is the greatest lower bound of a. Given a, b r, the notation a > b means that a + ( b) p, and b < a is another way of writing a > b. The symbol a b means that a + ( b) p {0}, and b a means the same as a b. Lemma 1: if a, b r and a > b, then a + c > b + c for all c r. moreover, if c > 0, then a c > b c. Lemma 2: if a, b, c r satisfy a > b and b > c, then a > c. Mata31h3 f : calculus for mathematical sciences i. Please read the following statement and sign below:
