Chapter 2.5, Problem 70E

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.

70. The population of a bacteria culture is given by $p(t)\frac{2500}{t+1}$.