The Acme Pole Eliminator company states in their online catalog that the circuit shown in Figure P10-66 can eliminate any realizable pole. Their catalog states "Suppose you have a need to eliminate the pole associated with an input, for example, \(V_{\mathrm{S}}(s)=K /(s+\alpha)\). Selecting \(1 / R_{1} C=\alpha\) will eliminate the pole, while the ratio \(R_{2} / R_{1}\) can be used to provide any desired negative gain or attenuation to the output." Prove or disprove their claim.