A system with transfer function $$G(s) =\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$$ is excited by $\sin (\omega t)$. The steady-state output of the system is zero at
- $\omega = 1 \text{ rad/s}$
- $\omega = 2\text{ rad/s}$
- $\omega = 3 \text{ rad/s}$
- $\omega = 4 \text{ rad/s}$