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 as x approaches 4. [sqrt(x^2-1)-sqrt(15)]/(x-4)

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

    |dw:1327298260320:dw|

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

    I drew it to clarify

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

    Lhopital rule. Derivative of top and bottom.

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

    Could you show me how to find the derivative?

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

    (1/2)(x^2 - 1)^(-1/2) * 2x

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

    chain rule for the first one

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

    bottom basically turns to 1 because you have the variable to the first power and plus or minus a constant

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

    The top should be rewritten to (x^2 - 1)^(1/2) - (15)^(1/2) The constant(15^1/2) turns into a zero. So you're left only doing (x^2 - 1)^(1/2). Drop the power so you get (1/2)(x^2 -1 )^(-1/2) Then you do chain rule. Derive the inside you end up getting (x)(x^2 -1)^(-1/2) |dw:1327298668258:dw|

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

    Forgot about the limit part. Basically you just plug 4 back in there. |dw:1327298727681:dw|

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

    snakefangs thanks for the insight, but we haven't even gotten into the chapter about derivatives and the chain rule yet, im just having trouble getting this out of indeterminant form.

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

    Ah... sorry about that then I'll try and see if i can apply some algebraic method.

  12. 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.