Limit of the Fibonacci Ratio

The Fibonacci sequence is defined by $F_0 = 0$, $F_1 = 1$, and $F_n = F_{n-1} + F_{n-2}$ for $n \geq 2$, giving the familiar $0, 1, 1, 2, 3, 5, 8, 13, 21, \ldots$ Does the ratio of consecutive terms $\dfrac{F_{n+1}}{F_n}$ converge as $n \to \infty$? If so, find the limit to the nearest thousandth. If not, report $-1$.