The Gamma Function (n) is defined in terms of the integral of the function given by (x)

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.