Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

malibugranprix2000

  • one year ago

lim_(x->0^+) (x^2/2-1/x) How do I figure out this problem? Find the limit.

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

    \[\frac{ x^2 }{ 2-1/x } = \frac{ x^3 }{ 2x-1 }\]

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

    i didn't get your question.

  3. malibugranprix2000
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1363774845928:dw|

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

    \[\large \lim_{x \rightarrow 0^+} \frac{x^2}{2}-\frac{1}{x}\]As we approach 0 from the right, our function is approaching \[\large \frac{0}{2}-\infty\] Right? :o Since we're on the right side, our x values are all positive. So we end up heading towards negative infinity, due to the subtraction.

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

    Do you understand why \(\large \dfrac{1}{x}\) approaches \(\large \infty\) as \(\large x\) approaches \(\large 0\) from the right? That's kinda important to understand with these types of problems. c:

  6. malibugranprix2000
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @zepdrix your explanation is clear, thanks.

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

    Search OpenStudy
    • 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.