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Can an infinite set of numbers have an average? If so, then how do you calculate it? You of course can't add everything and then divide by infinity, because ∞/∞ or, if x≠∞ then x/∞ is undefined. If you do know how to calculate the average of an infite set, please tell me the answer to the average of all unit fractions!

 Jun 12, 2017
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Form the average of a finite sum over n, then take the limit as n tends to infinity.  Examples:

 

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 Jun 12, 2017

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