Thread: Root sequence question View Single Post
 P: 736 For the recursive sequence $$R_n = x + \sqrt {x - \sqrt {R_{n - 2} } }$$ $$R_0 = x = k^2 - k + 1$$ $$\forall k \in \mathbb{N},\;k > 1$$ why does $$\mathop {\lim }\limits_{n \to \infty } R_n = k^2$$ ??