Limits at Infinity and Horizontal Asymptotes Practice Test

A population of bacteria is modeled by the logistic function $$P(t) = \frac{2000}{1 + 49e^{-0.2t}}$$, where $$t$$ is time in days. What number does the population approach as time increases without bound?

The concentration of a drug in a patient's bloodstream, in mg/L, $$t$$ hours after administration is given by the function $$C(t) = \frac{150t}{t^2 + 4}$$. What does the concentration of the drug in the bloodstream approach as time increases without bound?