Use Exercise 86 to show that e x /x 2 x/6 and conclude that Then use
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Use Exercise 86 to show that ex/x2 ≥ x/6 and conclude that Then use Exercise 87 to prove more generally that
Data From Exercise 86
Recall the following property of integrals: If ƒ(t) ≥ g(t) for all t ≥ 0, then for all x ≥ 0,
Data From Exercise 87
Generalize Exercise 86; that is, use induction (if you are familiar with this method of proof) to prove that for all n ≥ 0,
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ex lim = ∞0. -2 x-00x²
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