dx challenge for discretisation

Objective: MAIN CODE clear all close all clc x=pi/3; dx=linspace(pi/4,pi/4000,20); for i= 1: length (dx) first_order_error(i)= first_order_approximations(x,dx(i)); second_order_error(i)= second_order_approximations(x,dx(i)); fourth_order_error(i)=fourth_order_approximations(x,dx(i)); end figure(1) loglog(dx,first_order_error) hold…