The Gamma Function (n) is defined in terms of the integral of the function given by (x) = x n e -x , n >

The Gamma Function Γ(n) is defined in terms of the integral of the function given by ƒ(x) = xⁿ⁻¹e^-x, n > 0. Show that for any fixed value of n, the limit of ƒ(x) as x approaches infinity is zero.