Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

adam32885

  • one year ago

Limit Help lim as x approches -4 ((1/4)+(1/x)/(4+x)

  • This Question is Closed
  1. adam32885
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Does that make sense or should i draw it?

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

    \[\huge \lim_{x \rightarrow -4}\frac{\frac{1}{4}+\frac{1}{x}}{4+x}\] It makes sense c: But I wanted to format it anway, heh.

  3. adam32885
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes that is it we have only covered limit laws so far.

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

    Ok this one isn't too bad.. it's just to test your silly math skills. So first let's get a common denominator on top.

  5. adam32885
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    My "silly" math skills are slowly coming back I took precalc 5 years ago

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

    Remember how to get a common denominator? We'll just multiply them both together, that will be the easiest way to do it. So our common denominator will be 4x. It looks like the first term is missing an x, while the second term is missing a 4, So let's fix that. \[\huge \lim_{x \rightarrow -4}\frac{\left(\color{cornflowerblue}{\frac{x}{x}}\cdot \frac{1}{4}\right)+\left(\frac{1}{x}\cdot \color{cornflowerblue}{\frac{4}{4}}\right)}{4+x}\]Understand that part ok? :D

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

    \[\huge \lim_{x \rightarrow -4}\frac{\left(\frac{4+x}{4x}\right)}{4+x}\]

  8. adam32885
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay so now can the denominator of the whole problem cancel out the numerator on the top leaving 4x?

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

    oh well, um let's be careful a sec :)

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

    We can write our problem like this,\[\large \lim_{x \rightarrow -4}\frac{\left(\frac{4+x}{4x}\right)}{4+x} \qquad =\qquad \lim_{x \rightarrow -4} \left(\frac{4+x}{4x}\right)\cdot \frac{1}{4+x}\]

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

    Maybe this will help you see what's going on better. So what happens when we cancel those out? :O

  12. adam32885
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it is 1/4x so the lim will be -1/16

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

    Yay good job \c:/

  14. adam32885
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you!

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

    • 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.