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Showing a limit doesn't exist using Delta/Epsilon

  1. Oct 19, 2013 #1
    1. The problem statement, all variables and given/known data

    Prove that the limit as x approaches 0 of 1/x does not exist

    2. Relevant equations
    Delta epsilon definition


    3. The attempt at a solution
    I'm really stuck
     
  2. jcsd
  3. Oct 19, 2013 #2
    Use the following definition:

    [tex]\forall L;\exists\epsilon>0;\forall\delta>0;\exists x:|x-a|<\delta and|f(x)-L|<\epsilon[/tex]
     
  4. Oct 19, 2013 #3
    I know that is the definition for a limit, but I am unsure how to disprove it
     
  5. Oct 19, 2013 #4
    Well first assume that : [tex]\lim_{x\rightarrow0}\frac{1}{x}=L[/tex]
     
  6. Oct 19, 2013 #5

    Mark44

    Staff: Mentor

    lepton123,
    Please read your private mails. You have started two threads without showing any effort. If you continue doing so, it could result in a ban from this forum.

    mtayab,
    Please, no more hints until lepton123 shows some effort.
     
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