If a function f represents a system that varies in$$ time, the existence of ModifyingBelow lim With t right arrow infinity f left parenthesis t right parenthesis means that the system reaches a steady state$($or equilibrium$).$ For the system of the population of a culture of tumor cells given by $$p$($t$)$equalsStartFraction $3700$ t Over t plus $1$ EndFraction

$,$ determine if a steady state exists and give the$$ steady$-$state value.