Question

If a function f represents a system that varies in time, the existence of
lim f(t)
t→∞
 means that the system reaches a steady state (or equilibrium). For the following systems, determine if a steady state exists and give the steady-state value.
The value of an investment in dollars is given by
v(t)=1000
e^0.065t

The answer is no steady state but whenever I plug in infinity I get positive infinity, please explain?

Answer 1

@phi please help

Answer 2

is that supposed to be one equation?
v(t)=1000 e^0.065t

Answer 3

if so,
** determine if a steady state exists and give the steady-state value.**
there is not steady-state, and therefore no steady-state value.
i.e. the limit "does not exist" or is "infinity" (people use either notation)