- #1

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## 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
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- #1

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

Delta epsilon definition

I'm really stuck

- #2

- 584

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

- #3

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

- #4

- 584

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

- #5

Mark44

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mtayab,

Please, no more hints until lepton123 shows some effort.

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