6 The curve \(y = \frac { \ln x } { x + 1 }\) has one stationary point.
- Show that the \(x\)-coordinate of this point satisfies the equation
$$x = \frac { x + 1 } { \ln x }$$
and that this \(x\)-coordinate lies between 3 and 4 .
- Use the iterative formula
$$x _ { n + 1 } = \frac { x _ { n } + 1 } { \ln x _ { n } }$$
to determine the \(x\)-coordinate correct to 2 decimal places. Give the result of each iteration to 4 decimal places.