Exercise 0.3.23. (a) Prove that the function f(x) : = vex over [0, ∞). 1+ex is strictly con-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
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1
1+ex
Exercise 0.3.23. (a) Prove that the function f(x) =
vex over [0, ∞).
(b) Prove that for any a1, a2,
an
≥ 1 the inequality
n
1
n
>
1 + ai
1+ a₁a₂. an
i=1
holds.
2
is strictly con-
Transcribed Image Text:1 1+ex Exercise 0.3.23. (a) Prove that the function f(x) = vex over [0, ∞). (b) Prove that for any a1, a2, an ≥ 1 the inequality n 1 n > 1 + ai 1+ a₁a₂. an i=1 holds. 2 is strictly con-
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