Question

Use the given facts about the functions to find the indicated limit.
(Picture provided below)

Answer 1

a. 10

EXPLANATION

Apply the following property of limits.

The product of the limits is the same as the limits of the limits.

`lim_(x\to -2)(fg)(x)=lim_(x \to -2)f(x)* \: lim_(x\to -2)g(x)`

This implies that,

`lim_(x\to -2)(fg)(x)=5* 2`

Multiply to get,

`lim_(x\to -2)(fg)(x)=10`

The correct choice is A.

Answer 2

Answer: option a

Explanation:

You have that (fg)(x) indicates that you must multiply f(x) and g(x).

Keeping the above mind, you have that:

`\lim_(-2 \to \infty) (fg)(x)\\ \lim_(-2 \to \infty)(fg)(x)= (5*2)\\ \lim_(-2 \to \infty)(fg)(x)=10`

You must substitute x=-2, but there is not x, therefore, the answer is: 10 (option a).