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If $$f(x)$$ approaches $$L$$ as $$x$$ approaches $$c$$:
$$\lim_{x \to c} f(x) = L$$
For every $$\epsilon \gt 0$$, there exists $$\delta \gt 0$$ such that if $$0 \lt |x - c| \lt \delta$$, then $$|f(x) - L| \lt \epsilon$$.
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If $$f(x)$$ approaches $$L$$ as $$x$$ approaches $$c$$:
$$\lim_{x \to c} f(x) = L$$
For every $$\epsilon \gt 0$$, there exists $$\delta \gt 0$$ such that if $$0 \lt |x - c| \lt \delta$$, then $$|f(x) - L| \lt \epsilon$$.
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