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I'll have one two (lemmy.dbzer0.com)
submitted 2 months ago by to c/Memes@lemmy.dbzer0.com
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[–] 6 points 2 months ago* (last edited 2 months ago) (3 children)

It's been a long time since calculus class, but doesn't the sum of all 1/x head to infinity? Seems to me the bartender shorted them massively on their order.

Edit: I misread. I swear I saw one order 1/2, then 1/3, then 1/4... Crazy what your mind sees when you're tired.

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  • [–] 9 points 2 months ago (1 child)

    nope

    1 + 0.5 = 1.5

    1.25 + 0.25 = 1.75

    1.750 + 0.125 = 1.875

    1.8750 + 0.0625 = 1.9375

    the series of the inverse powers of 2 converges to 2

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  • [–] 2 points 2 months ago (1 child)

    if you think about it in fraction you get

    1 + 1/2 = 3/2 = 6/4

    6/4 + 1/4 = 7/4 = 14/8

    14/8 + 1/8 = 15/8 = ....

    notice how the result's numerator is always one less than double the numerator, such that the result is always under two

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  • [–] 2 points 2 months ago* (last edited 2 months ago)

    The math question ignores that there is a minimum volume for beer, at some point you either get beer or something less than beer added.

    The bartender is right.

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