I literally, have no idea on what you are doing..but this can be done to plot number of iterations and approximation. You have to rethink on what you are doing:
close all;clear all; clc
%Prepared by Lauren Stearns
prompt = 'Input a small, real, positive value for epsilon. Input:';
epsilon = str2double(input(prompt,'s'));
c = 1/4 + epsilon ;
% Where epsilon is a very small, real, positive, number. such as 1e-10
z = 0;
n = 0;
while z < 2
z = z.^2 + c;
n = n+1 ;
end
Approximation = [1:n]*sqrt(epsilon);
% display(Approximation)
format long
Comparison = abs(((pi-Approximation)/pi))*100; %%Percent error comparison
% display(Comparison)
loglog(1:n,Approximation,'k-', 'markersize', 12)
