3. Evaluate: $6+\frac{16}{6+\frac{16}{6+\frac{16}{6+\cdots}}}$
Answer: 8
Solution: Let $x$ be equal to the continued fraction to be evaluated. Assuming the continued fraction converges, we must have $x=6+\frac{16}{x}$, which has 8 and -2 as solutions. Since $x$ must be positive, $x=8$.