Given: \( ∫_{0}^{∞} e^{-x} x^{n-1} dx \)
Determine the convergence or divergence of the integral for different values of n:
1
The integral is convergent when 0 ≤ n ≤ 2.
2
The integral is divergent when n ≤ 3.
3
The integral is divergent when n ≥ 1.
4
The integral is convergent when n ≥ 1.