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?

Question

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?

anonymous · Answer

(just a guess)

This looks like a limit problem so it goes to zero

anonymous · Answer

Is this for calc1 by any chance?

anonymous · Answer

nope is from pre cal they are asking me to draw the graph and eventuallyto show  what happens to the concentration of the drug in the bloodstream

anonymous · Answer

It goes to zero.  You have to ignore numbers that are being added to the top or bottom as well as coefficients.  What you have here in your most basic case is x/x^2, or more simply 1/x.  As x approaches infinity, f(x) approaches zero.

anonymous · Answer

Although you're in precal, check out ex. 1 in this link: http://tutorial.math.lamar.edu/Classes/CalcI/TheLimit.aspx

anonymous · Answer

oic so is just decreasing then
and thanks for link :)

anonymous · Answer

Lol, one more linky! http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/liminfsol1directory/LimInfSol1.html What you're interested in is limits as x approaches infinity