An infinite resistor ladder network consists of repeating stages connected across input terminals \(A\) and \(B\). Each stage contains a series resistor of resistance \(R\) along the top conductor and a shunt resistor of resistance \(2R\) connected across the conductors. A finite 4-stage ladder network is created by cutting the infinite network after four identical stages, leaving the output terminals after the fourth stage as an open circuit. What is the equivalent resistance \(R_{\text{eq}}\)` of the infinite network, and how does the equivalent resistance \(R_4\) of the 4-stage network compare to \(R_{\text{eq}}\)?