Limit of a function at a finite value

Let $f: D \to \mathbb{R}$ be a real valued function, and assume that $f$ is defined near $a$.

We write $$\lim\limits_{x \to a} f(x) = c$$ if for every $\epsilon > 0$ there is a $\delta > 0$ such that whenever $|x-a| < \delta$ for $x \in D$¹

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1. notation.basic.ipynb#$\in$↩

Limit of a function

Let $f: D \to \mathbb{R}$ be a real valued function, and assume that $f$