1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Find an f that satisfies these statements - Deltas and Epsilons

  1. May 27, 2013 #1
    1. The problem statement, all variables and given/known data

    Find an f that satisfies this statement:
    [tex]
    \lim_{x\rightarrow a} f(x)≠L
    [/tex]

    [tex]∀ε>0 ∃δ>0∃ x:0<|x-a|<δ AND |f(x)-L|<ε[/tex]

    2. Relevant equations


    3. The attempt at a solution

    I'd just like a small hint on how I would go about finding a function. How can there be a delta for every epsilon and the rest of the statement is fulfilled, but there is no limit? The notation's just a tad confusing.
     
  2. jcsd
  3. May 27, 2013 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    You aren't quantifying this right. There just has to be one epsilon without any corresponding delta. lim x->0 x isn't equal to 1. Prove it.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted