I need help with this python programming assignement

2. Cube Roots Write (analytically) a Newton iteration to compute the cube root of R VR, with R>0 Explain why Newton's method will always converge to the correct cube root, no matter what the (positive starting guess) is. Prove that the convergence is quadratic. The cube root of 1/27 is 1/3. Find an upper bound in the error of the cube root when this problem is solved on a computer