Question

PLEASE HELP Evaluate the limit, if it exists. Show work. lim_(x->5)((x^(2)-3x-10)/(2x-10))

Answer 1

Answer:

$lim \: x \: —>5 \: \: \frac{ {x}^{2} - 3x - 10 }{2x - 10} \\ \\ lim \: x \: —>5 \: \: \: \frac{(x - 5)(x + 2)}{2(x - 5)} \\ \\ lim \: x \: —>5 \: \: \frac{(x + 2)}{2} = \frac{5 + 2}{2} = \frac{7}{2} \\ \\ \\ = \frac{7}{2} = 3.5$

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