The Infamous Sum of Counting Numbers is NOT -1/12

The Infamous Sum of Counting Numbers is NOT -1/12

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Science, Mathematics

University

Hard

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The video addresses a common misconception that the sum of all counting numbers equals negative 1/12. It explains the misleading proof that leads to this erroneous conclusion, analyzing two series used in the proof. The video debunks the misconception by showing that the series do not converge to a single value and are undefined. The correct conclusion is that the sum of all counting numbers diverges to infinity, not negative 1/12.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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