Answered

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



Answer :

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]

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