Answer
$${\text{No steady state}}$$
Work Step by Step
$$\eqalign{
& {\text{Let }}v\left( t \right) = 1000{e^{0.065t}} \cr
& {\text{Calculate }}\mathop {\lim }\limits_{t \to \infty } v\left( t \right) \cr
& {\text{ }}\mathop {\lim }\limits_{t \to \infty } v\left( t \right) = \mathop {\lim }\limits_{t \to \infty } 1000{e^{0.065t}} \cr
& {\text{Evaluate the limit}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 1000\overbrace {\mathop {\lim }\limits_{t \to \infty } {e^{0.065t}}}^{{\text{approaches to }}\infty } \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \infty \cr
& {\text{Therefore}}{\text{, }} \cr
& {\text{No steady state}} \cr} $$
