I'm just wondering why in the definition of continuity, limit of function, or even just limit of a sequence, the inequality signs are strict? What would happen if you only required that(adsbygoogle = window.adsbygoogle || []).push({});

[tex] | f(x) - L |\leq \epsilon[/tex]. Or that [tex]|x-a|\leq \delta [/tex].

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# Continuity definition

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