# 44. Let h(t) denote the impulse response of a ...

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

S1: The system is stable.
S2:$h(t+1)\over h(t)$ is independent of t for  t  0.
S3: A non-causal system with the same transfer function is stable.

For the above system,

(A) Only S1 and S2 are true

(B) only S2 and S3 are true

(C) Only S1 and S3 are true

(D) S1, S2 and S3 are true

Hint:
Explanation:

Answer-(A) Only S1 and S2 are true
Discuss the solution.