Concentration of Drug in the Bloodstream The concentration of a certain drug in patient's bloodstream (t) hr after injection is given by:

Question

C(t) = (0.2t) / (t^2+1)

mg/cm^3 Evaluate lim x-> inf C(t) and interpret your result.

Answer 1

as t gets huge, t^2+1 becomes just t^2
0.2t/t^2 = 0.2/t
and as t becomes huge, that vanishes

it just means the the body metabolizes any medication you provide, so the effects diminish.