Fig. 11

Radius of convergence r of the Taylor series of the logistic function \(X (V )\), as a function of the point \(V=\mu\) about which the expansion is performed. For large μ the radius of converge increases linearly since the logistic function is asymptotically flat. Instead for \(\varLambda \rightarrow\infty\) we obtain \(r (0 )\rightarrow0\), because in this limit the logistic function becomes a Heaviside step function with a discontinuity in \(V=0\)