Commutators associated with the renormalized powers of quantum white noise

Let $\delta (t)$ denote the Dirac delta function. We show how, when the renormalization constant $c>0$ in ${\delta}^2(t)=c\,\delta(t)$ is large or approaches $+\infty$, the commutation relations for the Renormalized Powers of Quantum White Noise (RPQWN) can be truncated to yield either the Heisenberg Canonical Commutation Relations (CCR) or the Renormalized Square of White Noise (RSWN) commutation relations of \cite{3}, parametrized by the order of the white noise functionals. The, still open, problem of choosing a renormalization of the powers of the delta function that will lead to a Fock representation of the RPQWN commutation relations is described.