The procedure to be adopted in this type of problem is illustrated in...

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

The difference equation can be written in the form...

(1)

If we limit our attention to x>0, is easy to see that f(x) has only one 'attractive fixed point' [a point where is and ...] in and, considering that is...

(2)

... we can conclude that...

a) for all the the sequence defined by (1) will converge to no matter which is a...

b) if then the condition is verified and the convergence is 'monotonic'...

c)if then the condition isn't verified and the convergence is 'oscillating'...

Kind regards