Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

j814wong

  • 2 years ago

Find a number δ > 0 such that for all x, 0 < absolute value (x-x0) < δ → absolute value (f(x) - L) < ϵ f(x)=4/x, x0=2, ϵ=0.4 Please explain in detail. Unfortunately, my school took a long time to fix my schedule so I was not put into AP BC Calculus until 2 or so weeks in today so much of the foundation is missing but I'm studying on my own to catch up.

  • This Question is Closed
  1. j814wong
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Also, please explain the symbols.

  2. satellite73
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    they are just variable they use greek letters to annoy you

  3. mahmit2012
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1348198061023:dw|

  4. j814wong
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What do those variables represent?

  5. mahmit2012
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1348198204753:dw|

  6. j814wong
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    δ Is delta right? But does it mean the same as the triangle delta?

  7. mahmit2012
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what is the triangle delta ?

  8. satellite73
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you want to make \(f\) close to \(L\) how close? within \(\epsilon\) for arbitrary \(\epsilon\) in your case (\epsilon\) is not arbitrary, it is 0.4

  9. mahmit2012
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    delta can be 02 or less to satisfy .

  10. j814wong
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Δ I mean. Seems it's upper case delta.

  11. satellite73
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it is just a variable, you could use anything \(a\), \(b\), \(\alpha\) \(\beta\) etc

  12. j814wong
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok. I'm frantically flipping through my textbook trying to comprehend all this.

  13. j814wong
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    In this case, what would epsilon be representing specifically?

  14. j814wong
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What is the name of these parts of calculus?

  15. j814wong
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Also, my textbook says δ = 1/3 is the answer but how they got it I have no idea.

  16. 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.