A system with zero initial condition has the closed-loop transfer function as:

\(\frac{{{s}^{2}}+4}{\left( s+1 \right)\left( s+4 \right)}\)

The system output is zero at the frequency of:

1
0.5 rad/sec
2
1 rad/sec
3
2 rad/sec
4
4 rad/sec

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