Resistors and means

This resistive network forms an infinite binary tree--every branch splits into two new branches, where the new branch that goes to the left has a resistance of \(R_x\), and the one that goes to the right has a resistance of \(R_y\).

Suppose that after going down \(n\) levels, all of the branches are connected to a single node, \(B\). As \(n\) approaches infinity, what will be the equivalent resistance between nodes \(A\) and \(B?\)

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