Question

question 10 use the fact that \\(\lim\limits_{x \to 8} f(x) = 4\\) and \\(\lim\limits_{x \to 8} g(x) = 2\\) to find \\(\lim\limits_{x \to 8} (8g(x) - 5f(x))\\) \\(\circ -112\\) \\(\circ -2\\) \\(\circ 2\\) \\(\circ 14\\) \\(\circ -14\\)

Explanation:

Step1: Apply limit properties

$\lim_{x \to 8}[3g(x) - 5f(x)] = 3\lim_{x \to 8}g(x) - 5\lim_{x \to 8}f(x)$

Step2: Substitute given limits

$3(2) - 5(4)$

Step3: Calculate the result

$6 - 20 = -14$

Answer:

-14 (corresponding to the option: O -14)