Determine whether the integral is convergent or divergent: ∫₀[infinity] e⁻⁵ˣ) dx. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.)
a) Convergent, evaluates to 1/5
b) Divergent
c) Convergent, evaluates to 5
d) Convergent, evaluates to 1