Consider a discrete-time periodic signal
x [ n ]   =   cos ( 0 . 7 πn )
(1) Determine the fundamental period of x[n].
(2) Suppose x[n] is obtained by sampling the continuous-timesignal  x ( t)   =   cos   ( πt ),by letting the sampling period to be T s =   0 . 7and considering the sample values at each n. Is the Nyquistsampling conditions satisfied in this case? Explain and relate thisto the answer given before.
(3) Under that conditions would sampling a continuous-timesignal x ( t )   =   cos ( Ω 0 t )give a discrete-time sinusoid x[n] that resembles x(t)? Explain andgive an example.
