Notation question

  1. Hi,

    I have a question about : http://imgur.com/RU7PvtJ

    I actually understand what I need to do. I need to see if both one sided limits are the same to establish that the limit exists. The only thing which I just find weird is the "since y --> 2^(-) implies y<-2"

    Can somebody explain me where this y --> 2^(-) is coming from ??
     
  2. jcsd
  3. micromass

    micromass 19,662
    Staff Emeritus
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    It is just a notation to denote the left-hand limits. So

    [tex]\lim_{x\rightarrow a^-} f(x)[/tex]

    is the limit of ##f(x)## as ##x\rightarrow a## but ##x<a##.
     
  4. But shouldn't we say : y --> -2^(-) and not y --> 2^(-) ???
     
  5. micromass

    micromass 19,662
    Staff Emeritus
    Science Advisor
    Education Advisor

    Yes, you are correct. The book is wrong there (and it is wrong is the same place on the next line too).
     
  6. Yes, I also noticed it. Ok, thank you!
     
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