- #1

lepton123

- 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

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- Thread starter lepton123
- Start date

- #1

lepton123

- 11

- 0

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

Delta epsilon definition

I'm really stuck

- #2

mtayab1994

- 584

- 0

[tex]\forall L;\exists\epsilon>0;\forall\delta>0;\exists x:|x-a|<\delta and|f(x)-L|<\epsilon[/tex]

- #3

lepton123

- 11

- 0

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

- #4

mtayab1994

- 584

- 0

Well first assume that : [tex]\lim_{x\rightarrow0}\frac{1}{x}=L[/tex]

- #5

Mark44

Mentor

- 36,307

- 8,280

mtayab,

Please, no more hints until lepton123 shows some effort.

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