Answer
$${\text{0}}$$
Work Step by Step
$$\eqalign{
& {\text{Let }}p\left( t \right) = \frac{{2500}}{{t + 1}} \cr
& {\text{Calculate }}\mathop {\lim }\limits_{t \to \infty } p\left( t \right) \cr
& {\text{ }}\mathop {\lim }\limits_{t \to \infty } p\left( t \right) = \mathop {\lim }\limits_{t \to \infty } \frac{{2500}}{{t + 1}} \cr
& {\text{Evaluate using limit properties}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 2500\overbrace {\mathop {\lim }\limits_{t \to \infty } \frac{1}{{t + 1}}}^{{\text{approaches to 0}}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 2500\left( 0 \right) \cr
& {\text{ }}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 0 \cr
& {\text{Therefore}}{\text{, }} \cr
& {\text{The steady state exits}} \cr
& {\text{The steady - state value is 0}} \cr} $$
