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I like the algebraic approach: x = 1/2 + 1/21/2 + 1/21/21/2 + ... 2x = 1 + 1/2 + 1/21/2 + 1/21/21/2 + ... 2x = 1 + x x = 1

I like the algebraic approach: x = 1/2 + 1/2*1/2 + 1/2*1/2*1/2 + ... 2x = 1 + 1/2 + 1/2*1/2 + 1/2*1/2*1/2 + ... 2x = 1 + x x = 1