Question

Use the given facts about the functions to find the indicated limit.

Answer 1

Answer: Option b.

Step-by-step explanation:

 1. You can rewrite it as following:

$\lim_{x\to \ -6} 2$

This means that you must substitute x=-6 into the limit. There is not x, then the function is always equal to 2, no matter the value of x.

$\lim_{x\to \ -6} 2=2$

 $\lim_{x\to \ -6} 1$

 This means that you must substitute x=-6 into the limit. There is not x, then the function is always equal to 1, no matter the value of x.

$\lim_{x\to \ -6} 1=1$

2. Then:

$\lim_{x\to \ -6} (f/g)(x)=2/1=2$

3. The answer 2.

Answer 2

Answer:

b. 2

Step-by-step explanation:

Given that;

$\lim_{x \to -6} f(x)=2$ and $\lim_{x \to -6} g(x)=1$

Use the properties of limits;

$\lim_{x \to -6} (\frac{f}{g})(x)= \lim_{x \to -6} (\frac{f(x)}{g(x)})$

$\lim_{x \to -6} (\frac{f}{g})(x)= (\frac{\lim_{x \to -6}f(x)}{\lim_{x \to -6}g(x)})$

This implies that;

$\lim_{x \to -6} (\frac{f}{g})(x)= \frac{2}{1}$

$\lim_{x \to -6} (\frac{f}{g})(x)=2$