Consider using false position to find the root of the function f on the unit interval                    f(x) =  −a for x with the starting points (0, −a) and (1, b). Show that the convergence can be...

Consider using false position to find the root of the function f on the unit interval

                   f(x) =  −a for x <>

with the starting points (0, −a) and (1, b). Show that the convergence can be made arbitrarily slow by taking a, b > 0 to extremes.