The Gamma Function (n) is defined by (a) Find (1), (2), and (3). (b) Use integration by

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.

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