Question 93
Find the value of the infinite continued fraction
$$
1 + \frac{1}{2 + \frac{1}{2 + \frac{1}{2 + \frac{1}{\ldots}}}}
$$
$$
1 + \frac{1}{2 + \frac{1}{2 + \frac{1}{2 + \frac{1}{\ldots}}}}
$$
MathNet 2026 — Part 09 Question 93
Math Olympiad Vault · MathNet 2026 — Part 09