Generalize Exercise 86 that is, use induction (if you are familiar with this method of proof) to prove that for all n 0, Exercise 86 Recall the following property of integrals If (t) g(t) for all t 0, then for all x 0, 1 ex 1 x x2 2 1 6 1 n (x 0)...

Data From Exercise 86 For n 1 et 1 x by Exercise 86 Assum ...

Generalize Exercise 86; that is, use induction (if you are familiar with this method of proof) to

Question:

Generalize Exercise 86; that is, use induction (if you are familiar with this method of proof) to prove that for all n ≥ 0,

1 ex > 1 + x + - x2 > 2 + + ... + 1 6 1 - n! (x > 0)

Exercise 86

Recall the following property of integrals: If ƒ(t) ≥ g(t) for all t ≥ 0, then for all x ≥ 0,

f* f(1)dt = f*g(1) dt z The inequality et 1 holds for t 0 because e > 1. Use (4) to prove that e 21+x for x

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Calculus

ISBN: 9781319055844

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Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Generalize Exercise 86; that is, use induction (if you are familiar with this method of proof) to

Question:

1 ex > 1 + x + - x2 > 2 + + ... + 1 6 1 - n! (x > 0)

Step by Step Answer:

Data From Exercise 86 For n 1 et 1 x by Exercise 86 Assum...View the full answer

Calculus

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