Following are several z-transforms. For each, determine the inverse z-transform using both methods?partial fraction expansion and power series expansion?discussed in Section 3.3. In addition, indicate in each case whether the Fourier transform exists.

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Iz| > (a) X(z) = Izl < ! (b) X(z)= (c) X(2): Izl > ! 1-12 1 -25 Iz| > (d) X(2) 1 .2-2 1-az - az |2| > |1/a| (e) X(z)