GATE EC 2014 Set 3 Q44 — LTI Systems

Let $h(t)$ denote the impulse response of a causal system with transfer function $\frac{1}{s+1}.$ Consider the following three statements.

$S1$: The system is stable.

$S2$: $\frac{h(t+1)}{h(t)}$ is independent of $t$ for $t > 0$.

$S3$: A non-causal system with the same transfer function is stable.

For the above system,