A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

find the limit of (x+7)/(x^2 -6x + 9) as x approaches 3. please show all calc involved

  • This Question is Closed
  1. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is 3 a bad value for x?

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

    what do you mean?

  3. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what makes a bad fraction?

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

    when i plug in 3, i get 10/0...thats not good according to my teacheelser but dont know what else to do

  5. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    right, /0 is a bad fraction so x=3 makes this go bad

  6. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can we undo the offending part with algebra?\[\frac{(x+7)}{(x-3)^2}\] prolly not

  7. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    lol i love your definition of the term bad fraction i like to say discontinuous at such and such but bad fraction is a good term

  8. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    http://www.wolframalpha.com/input/?i=limit%7Bx+to+3%7D+%28x%2B7%29%2F%28x-3%29%5E2

  9. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    So anyways since there is no way to force this fraction to be continuous at x=3 then the limit does not exist

  10. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    inf aint a good answer then is it :)

  11. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it aint a real number so ....

  12. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    does not exist is fine but saying it approaches infinity gives a little more info on that "does not exist" phrase

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

    Infinty and does exists are not same right?

  14. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    exist means a definitive value; infinity is more a direction than a value i believe

  15. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    right amistre

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

    This limit exists and it is infinity...

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

    what about x^2-x-20/2x^2-32, as x approaches -4

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

    happy birthday myininaya

  19. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    infinity is not a number

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

    Right hand limit =left hand limit = infinity

  21. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    so it does not exist

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

    I know but infinity is not same as undefined.

  23. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1 Attachment
  24. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    infinity is fine to say when both sides are approaching infinity (same for negative infinity) but i feel it is also okay to say it dne since infinity is not a number

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

    amistre whats the screenshot for

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

    but can anyone help with the last question i posted please

  27. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    hes just saying the question in the window thingy is not the same as the question you asked

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

    For this question I would say that the limit is infinity, but if for the purposes of some questions where only finite limits are applicable then an infinite limit might be considered DNE.

  29. Zarkon
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I'd probably say infinity too, but with the understanding that the limit really does not exist...infinity is just the direction that the function is going.

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

    Myin, this is interesting: http://math.stackexchange.com/questions/36289/

  31. 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.