The 'attack strategy' for this type of problems is illustrated in...

http://www.mathhelpforum.com/math-he...-i-188482.html

The recurrence relation defining the can be written as...

(1)

The function f(x) has one 'attractive fixed point' in and one 'repulsive fixed point' in and because the inequality all the initial values will produce a sequence converging to . All the initial values however will produce a diverging sequence...

Marry Christmas from Serbia

P.S. An important detail: all the initial values will produce an increasing sequence and all the initial values will produce a decreasing sequence...