# 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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