Recursive sequence (Fibonacci Sequence) & Limits

Hey, I would like some help with this question:

A recursive sequence is a sequence where the $\displaystyle n$th term, $\displaystyle t_{n}$, is defined in terms of preceding terms, $\displaystyle t_{n-1}, t_{n-2}$, etc

one of the most famous recursive sequences is the Fibonacci sequence, created by Leonardo Pisano (1170-1250). The terms of this sequence are define as follows $\displaystyle f_{1} = 1, f_{2} = 1, f_{n} = f_{n-1} + f_{n-2}$ where $\displaystyle n \geq 3$

It asks me to graph some things, did those, but then it asks me to write an expression, using a limit, to represent the value of the ratios of consecutive terms of the Fibonacci sequence. How would I go about doing this?

Thanks in advance.