(a) Apply the Comparison Theorem (Theorem 5 in Section 5.2) to the inequality sin x x

Chapter 5, Problem 64

(choose chapter or problem)

(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 x2 2 cos x 1 (b) Apply it again to prove that x x3 6 sin x x (for x 0) (c) Verify these inequalities for x = 0.3.

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