Implement Newton's iteration and test it for a nonlinear equations (of your choice) for which you know the root. Make sure that your algorithm does not perform more than 20 iterations, and print both the true error |en| =|r - xn| and its empirical estimate

PROBLEM 4 (3 pt.): Implement Newton's iteration and test it for a monlincar equatio (of your ehoice) for which yo kw the roo Mak sure that your algorithm does not perform more than 20 iterations, and print both the true error en - In and its empirical estimate f(n) As always provide a short description of the equations and a short discus- sion of obtained results (e.g., are the empirical error estimates close to the results