Hurwitz-Robucci scaling -
Convergence of Rescaled Polynomials
So gn(ε) = fn(-2 + ε/rn) =
fn(-2 + 6ε/4n).
Here we plot the graphs of the first few gn.
Click to repeat.
The animation suggests good convergence of the gn(ε) to some limiting function. Note
that with increasing n, the gn(ε) change very little over larger ranges of ε
values.