Question

$\lim_{x \to -4} \frac{x^2 - 2}{4 - x}$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. \begin{equation*} \lim_{x \to -4} \frac{x^2 - 2}{4 - x} = \boxed{\text{ }} \end{equation*} (Simplify your answer.) B. The limit does not exist.

          $\lim_{x \to -4} \frac{x^2 - 2}{4 - x}$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. \begin{equation*} \lim_{x \to -4} \frac{x^2 - 2}{4 - x} = \boxed{\text{ }} \end{equation*} (Simplify your answer.) B. The limit does not exist.
        
Show more…
limx → -4(x^2 - 2)/(4 - x) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 
    limx → -4(x^2 - 2)/(4 - x) =
 (Simplify your answer.) B. The limit does not exist.

Added by Cassidy C.

Close

Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
lim_{x o -4} frac{x^2 - 2}{4-x} Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim_{x o -4} frac{x^2 - 2}{4-x} = (Simplify your answer.) B. The limit does not exist. lim_{x o -4} frac{2-2}{4-x} Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim_{x o -4} frac{2-2}{4-x} = (Simplify your answer.) B. The limit does not exist.
Close icon
Play audio
Feedback
Powered by NumerAI
Danielle Fairburn Jennifer Stoner
Ivan Kochetkov verified

Kathleen Carty and 87 other subject Precalculus educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
jse-properties-of-limits-to-find-the-indicated-limit-it-may-be-necessary-to-rewrite-the-expression-before-limit-properties-can-be-applied-2x-x-2-x-4-select-the-correct-choice-below-and-if-ne-75498

Use properties of limits to find the indicated limit. It may be necessary to rewrite the expression before limit properties can be applied. lim x->2 (x^2 + 2x - 8) / (x^2 - 4) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim x->2 (x^2 + 2x - 8) / (x^2 - 4) = 3/2 (Type an integer or a simplified fraction.) B. The limit does not exist and is neither infinity nor -infinity.

Kathleen C.

find-the-given-limit-2-16-lim-x-4-x-4-select-the-correct-choice-below-and-fill-in-the-answer-box-within-your-choice-0-a-x2-16-lim-simplify-your-answer-x74-x-4-0-b-the-limit-does-not-exist-84812

Find the given limit: lim x->4 (x^2 - 16) / (x - 4) Select the correct choice below and fill in the answer box within your choice. A. lim x->4 (x^2 - 16) / (x - 4) = (Simplify your answer.) B. The limit does not exist.

Sri K.

use-the-properties-of-limits-to-help-decide-whether-the-limit-exists-if-the-limit-exists-find-its-value_-4x-lim-8x-6-x-0-select-the-correct-choice-below-and-if-necessary-fill-in-the-answer-b-34405

Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value. lim x->inf 4x / (8x - 6) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. lim x->inf 4x / (8x - 6) = (Simplify your answer. Type an integer or a fraction.) B. The limit does not exist and is neither inf nor -inf.

Maitreya E.


*

Recommended Textbooks

-
Precalculus with Limits

Precalculus with Limits

Ron Larson 2nd Edition
achievement 1,540 solutions
Precalculus

Precalculus

Robert Blitzer 5th Edition
achievement 1,775 solutions
Precalculus

Precalculus

Jay Abramson 1st Edition
achievement 1,114 solutions

*

Transcript

-
00:01 So i want the limit as x approaches 2 of x squared plus 2x plus, sorry, minus 8 over x squared minus 4.
00:20 So i'm first going to try direct substitution, and direct substitution is going to yield 4 plus 4 is 8, so i have that indeterminate form...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever