You can use any programming software. It can be Matlab,Python,etc.

The first function is

f(x)=e^((e^-x)/3)

Problem 9. 1. Let f(0) = es. Use your fixed point finding algorithm to try to find a fwed point. Explain how the starting point affected your algorithm outcomes. 2. Let g(x)=0-3 - 3 Inx. Use a fixed point method to find a root for g(x). When the algorithm works, it works very well. It would be quite useful to know that the algorithm will converge before running our program. The following theorem gives us a sufficient criteria for convergence