Question

Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. If the limit doesn't exist, then answer ""DNE"". $lim_{x o 6} frac{x - 6}{x^2 - 36} = frac{1}{12}$

          Find the limit. Answer in either fraction or integer form.
NO DECIMAL APPROXIMATIONS.
If the limit doesn't exist, then answer ""DNE"".
$lim_{x 	o 6} frac{x - 6}{x^2 - 36} = frac{1}{12}$
        
Find the limit. Answer in either fraction or integer form.
NO DECIMAL APPROXIMATIONS.
If the limit doesn't exist, then answer ""DNE"".
limx 	o 6 fracx - 6x^2 - 36 = frac112

Added by Daniel T.

Close

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th 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
Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. If the limit doesn't exist, then answer "DNE".
Close icon
Play audio
Feedback
Powered by NumerAI
David Collins Kathleen Carty
Ivan Kochetkov verified

Zhumagali Shomanov and 65 other subject Calculus 1 / AB 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

-
find-the-limit-if-it-exists_-if-an-answer-does-not-exist-enter-dne-lim-x-x2-_-36-x-6-need-help-read-it-watch-it-29696

Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x->-6 ( (x^2 - 36) / (x + 6) ) Need Help? Read It Watch It

Adi S.

find-the-limit-if-it-exists-use-a-graphing-utility-to-verify-your-result-graphically-lim-_x-rightarr

Find the limit (if it exists). Use a graphing utility to verify your result graphically. $$\lim _{x \rightarrow 6} \frac{x-6}{x^{2}-36}$$

Precalculus with Limits : A Graphing Approach

Limits and an Introduction to Calculus

Techniques for Evaluating Limits

express-the-given-limit-as-a-number-as-infty-or-as-infty-lim-_x-rightarrow-6-frac4x-62

Express the given limit as a number, as $-\infty$ or as $\infty$. $$ \lim _{x \rightarrow 6} \frac{4}{(x-6)^{2}} $$

Calculus, Early Transcendentals

Limit of a Function

Limits That Involve Infinity


*

Recommended Textbooks

-
Calculus: Early Transcendentals

Calculus: Early Transcendentals

James Stewart 8th Edition
achievement 1,765 solutions
Calculus: Early Transcendentals

Calculus: Early Transcendentals

William Briggs, Lyle Cochran, Bernard Gillet 3rd Edition
achievement 1,674 solutions
Thomas Calculus

Thomas Calculus

George B. Thomas Jr. 14th Edition
achievement 1,416 solutions

*

Transcript

-
00:01 In this question, we are asked to calculate the given limit.
00:04 First of all, note that when you plug in 6 equals 6 directly, you are going to get 0 in the denominator and 0 in the denominator.
00:14 So it's going to be 0 over 0.
00:16 And we can't really calculate that...
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
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