Suppose $X_{\infty}$ is a polarised limit space and $\rho>0$. We can find a $k$ such that if $p_{1},p_{2}\in X_{\infty}$ are points with $d(p_{1},p_{2})>\rho$ then the map $T_{k}:X_{\infty}\rightarrow\mbox{${\mathbb{C}}$}\mbox{${\mathbb{P}}$}^{N_{k}}$ takes $p_{1},p_{2}$ to distinct points in $\mbox{${\mathbb{C}}$}\mbox{${\mathbb{P}}$}^{N_{k}}$.