The Gamma Function (n) is defined by (a) Find (1), (2), and (3). (b) Use integration by parts to show that (n + 1) =

The Gamma Function Γ(n) is defined by

(a) Find Γ(1), Γ(2), and Γ(3).

(b) Use integration by parts to show that Γ(n + 1) = nΓ(n).

(c) Write Γ(n) using factorial notation where n is a positive integer.

I(n) = *00 Jo 10 xn-le-dx,n>0.