Question 8
Find
$$
\frac{\sqrt{31+\sqrt{31+\sqrt{31+\ldots}}}}{\sqrt{1+\sqrt{1+\sqrt{1+\ldots}}}}
$$
$$
\frac{\sqrt{31+\sqrt{31+\sqrt{31+\ldots}}}}{\sqrt{1+\sqrt{1+\sqrt{1+\ldots}}}}
$$
MathNet 2006 — Part 05 Question 8
Math Olympiad Vault · MathNet 2006 — Part 05