For step input, Y(s)=H(s)/s. The initial-value theorem gives y(0⁺)=lim sY(s)=lim H(s) as s→∞. Taking the ratio of leading coefficients gives (−1/ωz)/(1/ωp)=−ωp/ωz, C. The nonzero instantaneous value comes from the transfer function’s direct feedthrough.
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