We were asked the following question: Write pseudocode to implement the bisection method on f given in question 1. You should include a stopping criterion based on the arguments used in the proof of Banach’s theorem.
Question 1 is given as: Consider the function f(x) = x^3 − 3. Approximate the root of f using three iterations of the following methods. (a) The bisection method on the line segment [1, 2];
The proof of Banach's Fixed point theorem is given as:
Proof Pt.1
Proof Pt.2
I have no clue how to find the stopping criterion for the bisection method from the proof of Banach's Fixed Point Theorem.