[tex]\displaystyle\sf~2 \frac{1}{3} [/tex]
Penjelasan dengan langkah-langkah:
[tex]\begin{aligned} \displaystyle\sf~ \lim_{x\to3} \frac{ {x}^{2} + x - 12 }{ {x}^{2} - 3x} & = \displaystyle\sf~ \lim_{x\to3} \frac{\cancel{(x - 3)}(x + 4)}{x\cancel{(x - 3)}}\\ \\ & = \displaystyle\sf~\lim_{x\to3} \frac{x + 4}{x} \\ \\& = \displaystyle\sf~ \frac{3 + 4}{3} \\ \\ & = \displaystyle\sf~ \frac{7}{3} \\ \\& = \displaystyle\sf~2 \frac{1}{3} \end{aligned} [/tex]
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[tex]\displaystyle\sf~2 \frac{1}{3} [/tex]
Penjelasan dengan langkah-langkah:
[tex]\begin{aligned} \displaystyle\sf~ \lim_{x\to3} \frac{ {x}^{2} + x - 12 }{ {x}^{2} - 3x} & = \displaystyle\sf~ \lim_{x\to3} \frac{\cancel{(x - 3)}(x + 4)}{x\cancel{(x - 3)}}\\ \\ & = \displaystyle\sf~\lim_{x\to3} \frac{x + 4}{x} \\ \\& = \displaystyle\sf~ \frac{3 + 4}{3} \\ \\ & = \displaystyle\sf~ \frac{7}{3} \\ \\& = \displaystyle\sf~2 \frac{1}{3} \end{aligned} [/tex]