Implication in the (ε,δ)-definition of limit – math.stackexchange.com

Implication in the (ε,δ)-definition of limit – math.stackexchange.com

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I'm still confused by the use of  $\Rightarrow$  in (ε,δ)-definition of limit. Take for example the definition of $\underset{x\rightarrow x_{0}}{\lim}f\left(x\right)=l$ : $$\forall\...

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