i$)$ What is the maximum sampling period Ts to avoid information loss

ii$)$ Assume fs $\backslash (=50\backslash$mathrm$\{$~Hz$\}\backslash ).$ Sketch the Fourier transform of $\backslash ($ x$[$n$]\backslash )$

iii$)$ Assume $\backslash (\backslash$mathrm$\{$x$\}[\backslash$mathrm$\{$n$\}1\backslash )$ obtained in ii$)$ is passed through a lowpass filter with cutoff frequency

Sketch the spectrum of filter output $\backslash (\backslash$mathrm$\{$y$\}[\backslash$mathrm$\{$n$\}]\backslash )$