A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

can i solve \[\lim_{x \rightarrow \infty} (2-x)/\sqrt(9x^2 +1)\] without using l'hopitals rule?

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

    sure you can do it with your eyeballs

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

    you mean algebra?

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

    numerator is like -x, denominator is like 3x and \[\frac{-x}{3x}=-\frac{1}{3}\]

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

    no i meant eyeballs. just by looking

  5. ash2326
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yeah take x^2 out of the square root \[(2-x) / (x \sqrt{9+1/x^2})\] take x out from numerator \[x(2/x-1) / (x \sqrt{9+1/x^2})\] \[(2/x-1) / ( \sqrt{9+1/x^2})\] 1/x and 1/x^2 ---->0 as x---> \(\infty\) so we've \[ -1/ \sqrt 9\] -1/3

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

    that is ok, but seems like a lot of work

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

    thanks ash for explanation, satellite your wit is endless

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

    but not helpful

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

    :)

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

    actually i was quite serious. suppose you wanted \[\lim_{x\rightarrow \infty}\frac{2x^2+3x+1}{5x^2+x-2}\] wouldn't you say \[\frac{2}{5}\] just like that?

  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.