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## Main Question or Discussion Point

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].

[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].