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Showing a limit doesn't exist using Delta/Epsilon

  • Thread starter lepton123
  • Start date
  • #1
11
0

Homework Statement



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

Homework Equations


Delta epsilon definition


The Attempt at a Solution


I'm really stuck
 

Answers and Replies

  • #2
584
0
Use the following definition:

[tex]\forall L;\exists\epsilon>0;\forall\delta>0;\exists x:|x-a|<\delta and|f(x)-L|<\epsilon[/tex]
 
  • #3
11
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I know that is the definition for a limit, but I am unsure how to disprove it
 
  • #4
584
0
Well first assume that : [tex]\lim_{x\rightarrow0}\frac{1}{x}=L[/tex]
 
  • #5
33,496
5,188
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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