Which of the following is equal to the rational expression when x # 1 or -1? 5(x - 1)
(x + 1)(x - 1)
O A.
5
(x - 1)(x + 1)
O B.
5
X + 1
O c.
5(x - 1)
X + 1
5
D.
x-1

Let x have probability generating function gx (s) and let un generating function u(s) of the sequence uo, u1, satisfies p(x > n). show that the (1- s)u(s) = 1 - gx(s), whenever the series defining these generating functions converge.