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## Infinite Circles (TOMATO Subjective 170)

Problem: Let $${C_n}$$ be an infinite sequence of circles lying in the positive quadrant of the $$XY$$-plane, with strictly decreasing radii and satisfying the following conditions. Each $$C_n$$ touches both the $$X$$-axis and the $$Y$$-axis. Further, for all \(n\geq...