I'm trying to wrap my head around the epsilon-delta definition.(adsbygoogle = window.adsbygoogle || []).push({});

"Let ##f## be a function defined on an interval that contains ##a##, except possibly at ##a##. We say that:

$$\lim_{x →a} f(x) = L$$

If for every number ##\epsilon > 0## there is some number ##\delta > 0## such that:

##|f(x) - L| < \epsilon## whenever ##0 < |x - a| < \delta##"

Whyaren'twe restricting ##|f(x) - L|## to be nonzero?

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# The epsilon-delta definition

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