Comment on Not that limit

etchinghillside@reddthat.com ⁨1⁩ ⁨day⁩ ago

• LeFrog@discuss.tchncs.de ⁨1⁩ ⁨day⁩ ago

  I think it is not defined. It has a limes from the left (- inf) and limes from the right (+ inf) but no two-sided limes.

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  • dohpaz42@lemmy.world ⁨1⁩ ⁨day⁩ ago

    It has a limes from the left… and limes from the right…

    Is that the Tootsie Roll Theorem?

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    • abbadon420@sh.itjust.works ⁨1⁩ ⁨day⁩ ago

      You put the lime on the coconut and drink it all up.

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      • Peppycito@sh.itjust.works ⁨1⁩ ⁨day⁩ ago

        You put the lime in the coconut. You’re such a good silly woman.

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  • ch00f@lemmy.world ⁨1⁩ ⁨day⁩ ago

    Yeah, it would have to be defined as a one-sided limit.

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• SculptusPoe@lemmy.world ⁨1⁩ ⁨day⁩ ago

  Image

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• JustAPenguin@lemmy.world ⁨1⁩ ⁨day⁩ ago

  I have a BA in Mathematics. The limit is indeed determined by the direction you approach the limiting value.

  When given without specification, the limit is implied to come from the left, meaning it increases towards the limiting value, which is why you see +inf.

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  • rooroo@feddit.org ⁨1⁩ ⁨day⁩ ago

    Yeah but then it should be negative infinite, cause if x<8 the fraction is negative.

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    • JustAPenguin@lemmy.world ⁨1⁩ ⁨day⁩ ago

      Ah, I misread the - as a +. You’re correct! Sorry, I just woke up and am in the middle of my morning doomscrolling sesh

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      • deadbeef79000@lemmy.nz ⁨1⁩ ⁨day⁩ ago

        Conveniently modeled with the same limit.

        Though I’m not sure what negative doom is and what happens when it approaches infinity.

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  • carmo55@lemmy.zip ⁨1⁩ ⁨day⁩ ago

    This is just not true. The normal limit we have here means a limit would have to exist from both directions and they should be equal.

    One-sided limits would be denoted by x -> 5– and x -> 5+ or similar.

    PS: in complex analysis, there is no distinction between +infty and -infty, so there it would be correct to say the function has limit infty at 5.

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    • JustAPenguin@lemmy.world ⁨11⁩ ⁨hours⁩ ago

      You’re right. But in this case, which is the case I was referring to, there is no two sided limit. It is discontinuous. It is in this case which I was referring to. Sorry for not being clear.

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    • Ephera@lemmy.ml ⁨1⁩ ⁨day⁩ ago

      In my experience with maths, there’s a whole bunch of different conventions all over the place, so it might’ve genuinely been how they were taught, even if you were taught differently…

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      • cows_are_underrated@feddit.org ⁨1⁩ ⁨day⁩ ago

        Yeah, that’s my experience too. When we did this in school we always defined from which side we were approaching the function.

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• Ooops@feddit.org ⁨1⁩ ⁨day⁩ ago

  It should be +/-∞

  Minus or plus depending on the side from which you approach the limes.

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  • Test_Tickles@lemmy.world ⁨19⁩ ⁨hours⁩ ago

    Infinity limes? After all these years, this meme starts to make sense: Limes

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