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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,

  1. only $S1$ and $S2$ are true
  2. only $S2$ and $S3$ are true
  3. only $S1$ and $S3$ are true
  4. $S1$, $S2$ and $S3$ are true
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