  We study the $\Lambda \to 0$ behaviour of Schwarzschild-de Sitter spacetime
and show, according to Geroch's notion of spacetime limits, that it converges
to the Schwarzschild spacetime. We use an embedding into $AdS_3$ to illustrate
and quantify this limiting behaviour. We use these quantitative observations to
establish a hierarchy of validity between the Einstein-de Sitter equations and
the Einstein equations (and therefore in a weak field limit also Newton's
equations), analogous to the quantum-classical limit when taking $\hbar \to 0$.
