Approximate the root of f(x) = x¹⁰ at x = 0 using Newton’s method with an initial approximation of x₀ = 0.5. Make a table showing the first 10 approximations, the error in these approximations (which is |x_n - 0| = |x_n|), and the residual of these approximations (which is f(x_n)). Comment on the relative size of the errors and the residuals and give an explanation.