After a certain drug is injected into a patient, the concentration c of the drug in the bloodstream is monitored. At time t ≥ 0 (in minutes since the injection), the concentration (in mg/L) is given by

c (t) = (40t) / (t^2 + 2)

What eventually happens to the concentration of drug in the bloodstream? ... ?

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18 May, 22:55

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Ezekiel West · Answer 1

Since degree of the denominator (2) is bigger than degree of the numerator (1) lim t→∞ c (t) = 0