Question 6
Find all real numbers $a$ such that the sequence defined by
$$x_0=\sqrt{1996},\qquad x_{n+1}=\frac a{1+x_n^2}\quad(n=0,1,2,\ldots)$$
has a finite limit as $n\to\infty$.
The supplied source has no question point values. Each problem uses 1 editorial point for import compatibility; this is not an official scoring scale.
$$x_0=\sqrt{1996},\qquad x_{n+1}=\frac a{1+x_n^2}\quad(n=0,1,2,\ldots)$$
has a finite limit as $n\to\infty$.
The supplied source has no question point values. Each problem uses 1 editorial point for import compatibility; this is not an official scoring scale.