There is the positive real roots of a family of polynomials of the form: p(n) = x^n - x^(n-1) - ... - x - 1; n ≥ 1. Let r(n) be the smallest positive real root of p(n). Find two real numbers a and b with the property that a ≤ r(n) ≤ b for all n
There is the positive real roots of a family of polynomials of the form: p(n) = x^n - x^(n-1) - ... - x - 1; n ≥ 1. Let r(n) be the smallest positive real root of p(n). Find two real numbers a and b with the property that a ≤ r(n) ≤ b for all n
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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There is the positive real roots of a family of polynomials of the form:
p(n) = x^n - x^(n-1) - ... - x - 1; n ≥ 1.
Let r(n) be the smallest positive real root of p(n). Find two real numbers a and b with the property that a ≤ r(n) ≤ b for all n
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