Question

use the information to determine each limit. (if the limit is infinite, enter ∞ or −∞, as appropriate)
lim┬(x→c)⁡f(x)=∞
lim┬(x→c)⁡g(x)= - 2
(a) lim┬(x→c)⁡f(x)+g(x)
(b) lim┬(x→c)⁡f(x)g(x)
(c) lim┬(x→c)⁡g(x)/f(x)

Explanation:

Step1: Apply limit quotient rule

$\lim_{x \to c} \frac{g(x)}{f(x)} = \frac{\lim_{x \to c} g(x)}{\lim_{x \to c} f(x)}$

Step2: Substitute given limits

$\frac{-2}{\infty} = 0$

Answer:

0