lim x->3 (-3x+9 / x²-9)
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[tex] \boxed{\begin{aligned}\sf \lim_{x \to 3} \frac{ - 3x + 9}{ {x}^{2} - 9 } &=\sf \lim_{x \to 3} \frac{ - 3(x - 3)}{(x - 3)(x + 3)} \\ \sf &=\sf\lim_{x \to 3} \frac{ - 3}{(x + 3)} \\ \sf &= \sf \frac{ - 3}{3 + 3} \\ \sf &=\sf \frac{ - 3}{6} \\ \sf &=\sf - \frac{1}{2} \end{aligned}}[/tex]
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