Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

limit as x approaches negative four of quantity x squared minus sixteen divided by quantity x plus four
1
-8
Does not exist
-4

Sagot :

Luv2Teach

Answer:

Step-by-step explanation:

First, try to plug in -4 for x and see what happens. Obviously, that makes the denominator go to 0 which is a big no-no. So we move on. Factor the numerator to get:

[tex]\lim_{x \to \-4} \frac{(x+4)(x-4)}{x+4}[/tex]

Now, if we cancel out the x + 4 on the bottom with the x + 4 on the top, plugging in -4 for x will not give us a problem:

[tex]\lim_{x \to \-4} (x-4)=-8[/tex]

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.