It is shown in Section 3.4 that the necessary condition for a continuous-time LTI system t...

It is shown in Section 3.4 that the necessary condition for a continuous-time LTI system to be bounded-input bounded-output stable is that the impulse response h(t) must be absolutely integrable; that is,

Show that any system that does not satisfy this condition is not BIBO stable; that is, show that this condition is also sufficient. [Hint: Assume a bounded input.]