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,
- only $S1$ and $S2$ are true
- only $S2$ and $S3$ are true
- only $S1$ and $S3$ are true
- $S1$, $S2$ and $S3$ are true