For phase shift: $\phi = -tan^{-1} (\omega RC)$
As $\omega \rightarrow 0$: $$\phi \rightarrow -tan^{-1} (0 RC) = -tan^{-1} (0) = 0^{\circ}$$
As $\omega \rightarrow \infty$: $$\phi \rightarrow -tan^{-1} (\infty RC) = -tan^{-1} (\infty) = -90^{\circ}$$