The root of the equation f(x) = 0, where
$$f(x) = x + \ln 2x - 4$$
is to be estimated using the iterative formula \(x_{n+1} = 4 - \ln 2x_n\), with \(x_0 = 2.4\).
- Showing your values of \(x_1, x_2, x_3, \ldots\), obtain the value, to 3 decimal places, of the root. [4]
- By considering the change of sign of f(x) in a suitable interval, justify the accuracy of your answer to part (a). [2]