Showing a limit doesn't exist using Delta/Epsilon

1. Oct 19, 2013

lepton123

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. Oct 19, 2013

mtayab1994

Use the following definition:

$$\forall L;\exists\epsilon>0;\forall\delta>0;\exists x:|x-a|<\delta and|f(x)-L|<\epsilon$$

3. Oct 19, 2013

lepton123

I know that is the definition for a limit, but I am unsure how to disprove it

4. Oct 19, 2013

mtayab1994

Well first assume that : $$\lim_{x\rightarrow0}\frac{1}{x}=L$$

5. Oct 19, 2013

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.