Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

malibugranprix2000

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

    i didn't get your question.

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

    |dw:1363774845928:dw|

  4. zepdrix
    • 3 years 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
    • 3 years 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
    • 3 years 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.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy