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Triangle limit

  1. May 3, 2008 #1
    If I define a triangle like this

    [tex]0\le y\le 1[/tex] and [tex]0\le x\le 1-y[/tex],

    then what is

    [tex] \lim_{x\rightarrow 1} \frac{y}{1-x}[/tex] ?

    As far as I can see, there are many possibilities, depending on how you "approach" [tex]x=1[/tex].
  2. jcsd
  3. May 4, 2008 #2


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    Science Advisor

    What you are writing doesn't make sense. Since you are taking the limit only as x goes to 1, y is some fixed number between 0 and 1. If [itex]x\le 1-y[/itex] and y is not 1 then x cannot "approach" 1. If y= 1, then, of course, the limit does not exist.
  4. May 4, 2008 #3
    Hmm, yeah, maybe it does not make much sense. Fortunately, I was able to fix my problem in another way, which gave a result with no singularities. So I don't have to solve this problem :) Phew.
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