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1, 1/3, 1/9, ...
6, 1.2, .24, ...
5, 20/7, 80/49, ...
-3/4, 3/16, -3/64, ...
Let x = 1 + a + a² + ... and y = 1 + b + b² + ..., where |a| < 1 and |b| < 1. Prove that 1 + ab + a²b² + ... = xy/(x + y - 1)
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