If the two equations represented transfer functions of an R-C filter, the top equation would be a high pass R-C filter (resistor on bottom across Vout) and the bottom equation is a low pass R-C filter (capacitor on bottom across Vout.
As 2*Pi*F goes to infinity, a capacitor is a short circuit. As 2*Pi*F goes to zero, a cap is open circuit.
As 2*Pi*F goes to infinity, an inductor is an open circuit. As 2*Pi*F goes to zero, an inductor is short circuit.
Remember these attributes of caps and inductors and you can peg low freq and high freq ends of transfer functions. It will get you pretty far on tests.