Please type your answer. write the program in python and explain where appropriate.

3. Consider g(x)=xarctan(x) (1) Program the fixed point method xk+1=g(xk) with a programming language. Starting with x0=5,5,1,1,0.1, perform 10 iterations and output all the numerical solutions at each step. (2) Explain the behavior you observe in terms of the theory of the fixed point method