A sinusoid cos(ω0t) is a bandpass signal with zero bandwidth. This implies that the sampling rate that will allow reconstruction of this signal from its samples can be arbitrarily small. Show that...

A sinusoid cos(ω0t) is a bandpass signal with zero bandwidth. This implies that the sampling rate that will allow reconstruction of this signal from its samples can be arbitrarily small. Show that this is indeed the case. Describe a system that will permit reconstruction (within a constant factor) of this sinusoid from its samples taken uniformly at a sampling rate approaching zero.