Problem 8) a) Show that fora > O and > O, 1 (b) Show that r (1) 1 (F(a) is defined to be r (a) le Xd:r. (c) Show that fora > 1, r (a) (a 1) r (a 1). (Thus, if n is a positive integer, then r (n) (n 1)! ; the Gamma function can be used as a generalization to define n! .) (d) (1 point) What is the EXACT value of 2 CIT ? (e) (3 points) Show that r (1/2) - 'In.