Formally, we say that \(\lim_{x \to c} f(x) = L\) if for all \(\varepsilon \gt 0\) there exists a \(\delta \gt 0\) such that \(|x-c| \lt \delta\) implies \(|f(x)-L| \lt \varepsilon.\)
Formally, we say that \(\lim_{x \to c} f(x) = L\) if for all \(\varepsilon \gt 0\) there exists a \(\delta \gt 0\) such that \(|x-c| \lt \delta\) implies \(|f(x)-L| \lt \varepsilon.\)