Answer:
[tex]lim \: x \: —>5 \: \: \frac{ {x}^{2} - 3x - 10 }{2x - 10} \\ \\ lim \: x \: —>5 \: \: \: \frac{(x - 5)(x + 2)}{2(x - 5)} \\ \\ lim \: x \: —>5 \: \: \frac{(x + 2)}{2} = \frac{5 + 2}{2} = \frac{7}{2} \\ \\ \\ = \frac{7}{2} = 3.5[/tex]
I hope I helped you^_^
