In Property 4 of Section 10.2, it was stated that if x[n] is a right-sided segues if the...

In Property 4 of Section 10.2, it was stated that if x[n] is a right-sided segues if the circle is in the ROC, then all finite values of z for which will also be in the ROC. In this discussion an intuitive explanation was given. A more formal argument parallels closely that used for Property 4 of Section 9.2 relating to the Laplace transform. Specifically, consider a right-sided sequence

where A is a positive constant.

(a) Show that eq. (P10.49-1) is true, and determine the constant A in terms of , .

(b) From your result in part (a), show that Property 4 of Section 10.2 follows.

(c) Develop an argument similar to the foregoing one to demonstrate the validity of Property 5 of Section 10.2.