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Here's an interesting, different notation for right and left limits that I saw today. Instead of writing \[ \lim_{x \, \to \, a^+}f(x), \] we indicate $x$ "goes down to" or "decreases to" $a$ by writing \[ \lim_{x \, \searrow \, a}f(x). \] Likewise, instead of \[ \lim_{x \, \to \, a^-}f(x), \qquad \text{we have} \qquad \lim_{x \, \nearrow \, a}f(x). \]
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Tue, 27 May 2014 17:13 GMT