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