A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

LifeIsADangerousGame

  • one year ago

Calculus

  • This Question is Closed
  1. LifeIsADangerousGame
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\lim_{x \rightarrow 2} \frac{ \left| x - 2 \right| }{ x - 2 }\]

  2. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    the limit will be different for x approaching 2 from above and that for x approaching 2 from below. Because the numerator will always be positive ( absolute value)

  3. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Limits are not my strong point I'm afraid

  4. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    My guess is that the limit is 1 for x approaching above 2 , and -1 for x approaching from below 2. But i'm not sure.

  5. LifeIsADangerousGame
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That's what the calculator I used says, I just don't know how to show my work for it.

  6. johnweldon1993
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    May not be your strong point, however you are correct @welshfella :) As you said, the limit = -1 as we approach 2 from the left And the limit = 1 as we approach 2 from the right Since there are 2 different values, the limit does not exist

  7. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Right - i cant help you there.

  8. johnweldon1993
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Its easy to show, Instead of putting in 2 for 'x' Plug in 1.99999 for 'x' to show what the answer would be if we approach 2 from JUST below it And plug in 2.00001 for 'x' to show what it would be if we approach 2 from JUST above it

  9. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    - yes - I had something like that in my mind also.

  10. LifeIsADangerousGame
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you both!

  11. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.