Let x(t) be a band-limited signal with absolute bandwidth fₐᵦₛˣ Hz. For each of the signals below, determine whether the signal is absolutely band-limited, and if so, express the Nyquist sampling rate for the signal in terms of fₐᵦₛˣ.
A. x(t) + x(t - 1)
B. dx(t)/dt
C. x²(t)