hw_6_6.py

def q6():
    #Starting point
    eps = .000001 #specify the convergence criteria

    #Step 1: initial guess x0
    x0=0

    #Step 2: compute x1 by applying the function
    def BR(q): #this is our function of interest
        return 1+0.1*q

    x1 = BR(x0) #new guess

    #Step 3: iterate

    while abs(x1-x0)>eps:
        x0=x1
        x1=BR(x0)
        print("New guess:",x1)
        
    print(x1)