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1 + 10 + 100 + ... = -1/9

Mathfilter: In Gelfand's exceptional Algebra text, he is talking about the formula 1 + x + x^2 + x^3 + ... = 1/(1 - x). He uses the Achilles racing the tortoise model when first introducing the formula. He discusses the case x = 10, whence 1 + 10 + 100 + 1000 + ... = -1/9. [more inside]
posted by wittgenstein on Jul 27, 2011 - 8 answers

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