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

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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.2: Matrix Algebra
Problem 21EQ: Prove the half of Theorem 3.3 (e) that was not proved in the text.
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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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