polynomials & rational function

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A drug is administered to a patient and the concentration of the drug in the bloodstream is monitored. At time t >= 0(in hours since giving the drug) the concentration is given by(in mg/L)
c(t) = 5t / (t^2+1)
Graph the function.
From the graph, how do I find
a)the highest concentration of drug that is reached in the patient's bloodstream
b)what happens to the drug concentration after a long period of time.
c)How long does it take for the concentration to drop below 0.3 mg/L

TIA

The highest will be the highest on the graph, the peak.
What happens as t approaches infinity?

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