If the system is represented by G(s) H(s) = k (s+7) / s (s +3) (s + 2), what would be its magnitude at ω = ∞?

If the system is represented by G(s) H(s) = k (s+7) / s (s +3) (s + 2), what would be its magnitude at ω = ∞?

(a) 0

(b) ∞

(c) 7/10

(d) 21

The question was asked at a job interview.

This key question is from Nyquist Stability Criterion in section Stability in Frequency Domain of Control Systems

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If the system is represented by G(s) H(s) = k (s+7) / s (s +3) (s + 2), what would be its magnitude at ω = ∞?

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