Answer:
p > 0
Step-by-step explanation:
∫₂°° e^(-px) dx
= ∫₂°° (e⁻ᵖ)ˣ dx
This is a geometric series.
A geometric series a(r)ˣ converges if -1 < r < 1.
-1 < e⁻ᵖ < 1
Since e⁻ᵖ is always positive:
e⁻ᵖ < 1
-p < 0
