Example 6.12 Find the z-transform and its ROC of the following sequence:
The z-transform X(z) of x(n) is given by
Therefore, X(z) will be finite if and only if z is not equal to 0 or ∞. Its ROC is given by 0 < |z| < ∞.
Example 6.13 Find the z-transform of the following sequences:
Differentiating both sides ...