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  • 21-09-2020
  • Mathematics
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How do you do this question?

How do you do this question class=

Respuesta :

MathPhys
MathPhys MathPhys
  • 21-09-2020

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

p > 0

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