Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

AamirKhanday

  • 2 years ago

what is a epsilon-delta definition of limits in easy language

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

    The concept of limit says that as x approach c the function f(x) tends to L. That is the less the distance from c the closest the function to L. Now, think of epsilon and delta as "error" and "distance" respectively. Epsilon is the desired level of proximity of the function to L and delta the distance from the point c (on both side of the real line in one variable, hence the absolute value). The delta -epsilon definition can be thought as a game. The opponent pick an error (epsilon) and I will always be able to find a distance for which all the points within that distance will have a f(x) value closer to L. It doesn't matter how small the error, I will always find a suitable distance, because the closest x is to c the nearest the function is to L. Hope it doesn't make more confusion.

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

    In same line as zoolgoth, Please read Conversation given Below.. AamirKhanday: Hey Raghav, I(f) am very sad. Now, My(f) desired degree of closeness with L is epsilon. Can you help me in finding any more x's ? Raghvendrac: Hello Aamir, Don't worry friend. Don't you remember.. "L is your Limit at c". I can always give you infinitely many points for any of your desired closeness with L. I can always find infinitely Many close friends(Delta Nbd) of c which will work for you (To get closeness with L).

  3. zofi51
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    first understand what are epsilon,delta, x and f(x) then understand the concept of closeness. also the concept of infinitesimals. after understanding these concepts precisely u will be able to understand the epsilon-delta definition of limits search wikipedia and this http://archives.math.utk.edu/visual.calculus hope it will help!

  4. 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.