Question

use \\(\lim_{x \to c} f(x) = -2\\) and \\(\lim_{x \to c} g(x) = 5\\) to find the limit.

\\\lim_{x \to c} 3f(x) - 4g(x)\\

Explanation:

Apply limit laws to decompose the expression

$$ \lim_{x \to c} [3f(x) - 4g(x)] = 3\lim_{x \to c} f(x) - 4\lim_{x \to c} g(g(x)) $$

Substitute the given limit values

$$ 3(-2) - 4(5) $$

Simplify the arithmetic expression

$$ -6 - 20 = -26 $$

Answer:

Use \(\lim_{x \to c} f(x) = -2\) and \(\lim_{x \to c} g(x) = 5\) to find the limit.

$$\lim_{x \to c} [3f(x) - 4g(x)] =$$

<blank>-26</blank>