A continuous-time signal is sampled at rates of (a) 10 Hz, (b) 2 Hz, and (c) 1 Hz. Sketch the resulting sampled signals. Because x(t) is timelimited, its bandwidth is infinite. However, most of its...

A continuous-time signal

is sampled at rates of (a) 10 Hz, (b) 2 Hz, and (c) 1 Hz. Sketch the resulting sampled signals. Because x(t) is timelimited, its bandwidth is infinite. However, most of its energy is concentrated in a small band. Determine a reasonable minimum sampling rate that allows reconstruction of this signal with a small error. Carefully justify what you consider negligible or small error.