how do I solve this math word problem

Question

Drug concentration. The concentration C of a certain drug in a patient’s bloodstream hour after injection is given by C (t) = t/2t^2 +1 Find the horizontal asymptote (t). What happens to the concentration of the drug as t increases?

Answer 1

C(t) = t / (2t² + 1)

 

As t →∝, t / (2t² + 1) → 0

 

The horizontal asymptote is C(t) = 0.

 

As time passes, the concentration diminishes.