Chapter 2.5, Problem 72E

Steady states If a function f represents a system that varies in time, the existence of $\underset{t\to \infty }{\lim }f(t)$ means that the system reaches a steady state (or equilibrium). For the following systems, determine whether a steady slate exists and give the steady -state value.

72. The amount of drug (in milligrams) in the blood after an IV tube is inserted is m(t) = 200(1 − 2^−t).