A signal x(t) with Fourier transform X(jw) undergoes impulse-train sampling to g

Question

A signal x(t) with Fourier transform X(jw) undergoes impulse-train sampling to generate x_p (t) = sigma_n = - infinity^infinity x(nT) delta (t - nT) where T = 10^-4.s. For each of the following sets of constraint s on x(t) and/or X (jw(), does the sampling theorem guarantee that x(t) can be recovered exactly fromx_p (t)? X(jw) = 0 for |w|> 4000 pi X(jw) = 0 for |w|> 14000 pi Re{X (jw)} = 0 for |w|> 4000 pi x(t) real and X(jw) = 0 for w > 4500 pi X(jw) * X(jw) = 0 for |w|> 14000 pi |X(jw)|= 0 for |w|> 4500 pi

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