The Fibonacci function I have constructed is:
f[n_] := f[n] = f[n - 1] + f[n - 2]
f[0] = 0; f[1] = 1;
\[ScriptF][n_] := \[ScriptF][n] = f[n] + f[n - 1]
Is there a way to take the limit of the ratios of
\[ScriptF][n_] := \[ScriptF][n] = f[n] + f[n - 1]
/ f[n_] := f[n] = f[n - 1] + f[n - 2]
as n tends to infinity?
Any help is greatly appreciated.