I have to side with AudioGuru on this one. Are we talking about DC resistance or AC impedance?
It is correct that for the AC analysis the source resistor would be completely shunted away by the infinite capacitor in parallel with it....in which instance the problem would require to find the input impedance, not the input resistance.
In other words, the problem statement is confusing. It should have stated to find the input and output impedance of the circuit, even though that impedance for all frequencies other than DC, the magnitude of Zeq = Req, and the angle would approach zero.
I know that I am sounding pedantic, but a prof actually screwed me, over 46 year ago, precisely with a very similar problem statement.