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 RxR_x, and the one that goes to the right has a resistance of RyR_y.

Suppose that after going down nn levels, all of the branches are connected to a single node, BB. As nn approaches infinity, what will be the equivalent resistance between nodes AA and B?B?

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