Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

haterofmath

  • 2 years ago

What hapeens if the limit is being taken from the left?

  • This Question is Closed
  1. across
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Anything can happen, but generally, you're approaching the limit point from negative infinity.

  2. haterofmath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so in a problem such as \[\lim_{x \rightarrow 2-}\frac{ x^2+4 }{ x-2 }\] howw would it work?

  3. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    since \(x\to2-\) then \(x<2\) so \(x-2<0\)

  4. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    this means that \[ \Large \lim_{x\to2-}\frac{x^2+4}{x-2}=-\infty \]

  5. haterofmath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok, so i won't have to plug anything in?

  6. haterofmath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and if it were moving to the right it would be \[+\infty\]

  7. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well, pluging in you would have \[ \Large \frac{2^2+4}{2-2}=\frac{8}{0} \]

  8. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes. if \(x\to2+\) then \(x>2\) so \(x-2>0\)

  9. pradipgr817
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I have tried it differently |dw:1347746473941:dw| at left as h tends 0 x tends\[2^{-}\]

  10. pradipgr817
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so if we replace x by 2-h and let h tends to 0 then there will be a different solution.

  11. haterofmath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and what solutions that?

  12. pradipgr817
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you can put it and find it.

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.