(a) Apply the Comparison Theorem (Theorem 5 in Section 5.2) to the inequality sin x < x (valid for x > 0) to prove that 1- < cos x < 1 2 (b) Apply it again to prove that x3 < sinx 0) (c) Verify these inequalities for x = 0.3.
(a) Apply the Comparison Theorem (Theorem 5 in Section 5.2) to the inequality sin x < x (valid for x > 0) to prove that 1- < cos x < 1 2 (b) Apply it again to prove that x3 < sinx 0) (c) Verify these inequalities for x = 0.3.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 30E: Let be as described in the proof of Theorem. Give a specific example of a positive element of .
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