What are the three main the conditions that must be satisfied to guarantee a bracketing-method finds a root of an equation? If these conditions are satisfied, would an open method (e.g., Newton-Raphson or Secant) also be guaranteed to find a root?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 33E
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What are the three main the conditions that must be satisfied to guarantee a bracketing-method finds a root of an equation? If these conditions are satisfied, would an open method (e.g., Newton-Raphson or Secant) also be guaranteed to find a root?

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