[tex] \bf \lim\limits_{x\to -2}~\cfrac{x^2-4}{x+2}\implies \cfrac{\stackrel{\textit{difference of squares}}{x^2-2^2}}{x+2}\implies \cfrac{(x-2)\underline{(x+2)}}{\underline{x+2}}\implies x-2
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\lim\limits_{x\to -2}~x-2\implies -2-2\implies -4 [/tex]
