The limit function Φ being continuous, it can be proved that this convergence is actually uniform on R (see for example Pestman, 2009; Petrov, 1976; Rényi, 2007).
Die limiet funksie Φ om deurlopende, kan dit bewys word dat hierdie konvergensie is eintlik uniform op R (sien byvoorbeeld Pestman 2009; Petrov, 1976; Rényi, 2007).