Grandi's series

It's safe to assume that S = 1 - (1 - 1 + 1 - 1...) which is S = 1 - S. This is a linear equation: 2S = 1 and then S = 1/2.

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One can keep subdividing forever, which suggests that every time we walk a path we complete an infinite number of actions in a finite amount of ...

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It is a divergent series, meaning that the sequence of partial sums of the series does not converge.

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The answer is 2. You have three positive 1's and one negative 1, which adds up to 2. You don't get to do (1 + 1) – (1 + 1) without there being ...

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We took a closer look at Grandi's sum, the claim that it evaluates to 1/2, and the reasons why Grandi's sum should not evaluate to 1/2 in spite of a convincing ...

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The statement "1 = 2" is a contradiction and is mathematically false. However, sometimes this kind of statement is used in puzzles or "proofs" ...

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The series does not converge. But if you treated it as a formal geometric series 1+r+r2+…=11−r and then let r=−1 you would get 12.

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1 + 1 + 1 + 1 + ⋯ ... ⁠, especially in physics. This value can be justified by certain mathematical methods for obtaining values from divergent series, including ...

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