Question

Evaluate the limit, if it exists. (Use symbolic notation and fractions where needed.) $\lim_{x\to 49} \frac{\sqrt{50 - x} - 1}{7 - \sqrt{x}} \cdot 10 = $

          Evaluate the limit, if it exists.
(Use symbolic notation and fractions where needed.)
$\lim_{x\to 49} \frac{\sqrt{50 - x} - 1}{7 - \sqrt{x}} \cdot 10 = $
        
Evaluate the limit, if it exists.
(Use symbolic notation and fractions where needed.)
limx→ 49(√(50 - x) - 1)/(7 - √(x))· 10 =

Added by Jon J.

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
Evaluate the limit, if it exists. (Use symbolic notation and fractions where needed.) lim_(x->49)(sqrt(50-x)-1)/(7-sqrt(x))*10= Evaluate the limit, if it exists Use symbolic notation and fractions where needed.) 50-x-1 lim 10= x-49 7 -yx
Close icon
Play audio
Feedback
Powered by NumerAI
Jennifer Stoner Ivan Kochetkov
Kathleen Carty verified

Lauren Shelton and 89 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

-
evaluate-the-limit-if-the-limit-is-of-an-indeterminate-form-indicate-the-form-and-use-lhopitals-ru-2

Evaluate the limit. If the limit is of an indeterminate form, indicate the form and use L'Hôpital's Rule to evaluate the limit. $$ \lim _{x \rightarrow 7} \frac{x^{2}-2 x-35}{7 x-x^{2}} $$

Calculus Concepts

Determining Change: Derivatives

Limits of Quotients and L’Hopital’s Rule

please-help-me-with-this-question-36

Please help me with this question

Kathleen C.

evaluate-the-limit-if-it-exists-lim-_x-rightarrow-23-x-7

Evaluate the limit, if it exists. $\lim _{x \rightarrow-2}(3 x-7)$

Calculus: Early Transcendentals, Metric Edition

Limits and Derivatives

Calculating Limits Using the Limit Laws


*

Recommended Textbooks

-
Calculus: Early Transcendentals

Calculus: Early Transcendentals

James Stewart 8th Edition
achievement 1,774 solutions
Calculus: Early Transcendentals

Calculus: Early Transcendentals

William Briggs, Lyle Cochran, Bernard Gillet 3rd Edition
achievement 1,853 solutions
Thomas Calculus

Thomas Calculus

George B. Thomas Jr. 14th Edition
achievement 1,096 solutions

*

Transcript

-
00:01 So given this limit, let's just use the method of replacement.
00:03 Replace all the x values that i have with 7, see what limit i get.
00:10 So 7 squared minus 2 times 7 minus 25.
00:14 Okay.
00:15 This will end up being 49 minus 14.
00:21 And we know that 49 minus 14 is 35 minus 25 minus 25 will be positive 10.
00:29 Okay, all over 7 times 7 minus 7 squared.
00:36 7 squared minus 7 squared, this is going to be 0.
00:40 But note that, oh, excuse me, this is 35.
00:50 So then this will also be 0.
00:53 Okay, so i have in the terminate form, 0 divided by 0...
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