# Sampling period

I started it but didn't how to continue , any help ?

The best answer I could give is just a hint: think about what is the inverse discrete time Fourier transform of $$X(e^{j\omega})$$. Constants in the frequency domain are what in the time domain? Answering that will lead you to the answer of this question.
• Yes, it is an impulse. So, how can you sample $x(t)$ so that $x(nT)=1$ for $n=0$ and $x(nT)=0$ for all other values of n? HINT: try plotting it – Engineer Oct 27 '19 at 21:25