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Math Help - Up/Down Arrow Limit Notation?

  1. #1
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    Question Up/Down Arrow Limit Notation?

    Hi

    Does \lim_{y\uparrow a}f(a) mean \lim_{y\rightarrow a-}f(a)? And \lim_{y\downarrow a}f(a)=\lim_{y\rightarrow a+}f(a)?

    Cheers,

    Sunmalus
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  2. #2
    A Plied Mathematician
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    I think you're asking if

    \displaystyle{\lim_{y\uparrow a}f(y)=\lim_{y\to a^{-}}f(y)} and

    \displaystyle{\lim_{y\downarrow a}f(y)=\lim_{y\to a^{+}}f(y).} Is that correct?

    See here.
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  3. #3
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    Yes exactly, thanks!
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  4. #4
    A Plied Mathematician
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    You're welcome. Have a good one!
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