A famous sequence $f_{n}$, called the Fibonacci Sequence after Leonardo Fibonacci, who introduced it around A.D. 1200, is defined by the recursion formula $$f_{1} = f_{2} = 1, \;\;\;\; f_{n+2} = f_{n+1} + f_{n}.$$ Find the radius of convergence of $$\sum_{n=1}^{\infty} f_{n}x^{n}.$$ Radius of convergence: .