overeni konvergence newtonovy numericke metody pro hledani korenu polynomu

newton.py

from math import sin, cos 

DEPTH = 9


def f(x: float) -> float: 
    """funkce f""" 
    return sin(x) - x**2 + 4 
    
    
def f_d(x: float) -> float: 
    """derivace f""" 
    return cos(x) - 2*x 
    
    
def recursive(depth: int, xn: float) -> float: 
    print(f"x_{DEPTH - depth} = {xn:.05f}, f({xn:.05f}) = {f(xn)}") 
    result = xn - f(xn)/f_d(xn)

    if depth == 0: 
        return result 
    else:  
        return recursive(depth - 1, result) 
     
    return recursive() 
     
     
#------------------------------------------------------------------- 
recursive(DEPTH, -2)