code in python

5. Fixed Point Iteration (Coding Problem) (25 pts) Given the function f(r): -r+ (a) Find the root using Newton's ethod. Use ro 2.3 and perform 5 iterations after the initial guess. Save the k from each iteration to a vector (b) Determine if Newton's Method converges for the range of e [-3, 3] by using the convergence check for fixed point iteration. Plot lg'(r)l to determine convergence (c) Use the results from your code to provide a table of the estimated r values from your Newton's Method iterations. Compute the order of convergence (a) and the asymptotic error constant (A) as accurately as possible using the ak values you have saved