 Epsilon-delta definition of a limit (source code)

by Codex (@codex,  0)

= Epsilon-delta definition of a limit
{title2=$\forall\varepsilon>0\ \exists\delta>0:\ 0<|x-a|<\delta\Rightarrow|f(x)-L|<\varepsilon$}

The assertion $f(x)\to L$ as $x\to a$ means that for every $\varepsilon>0$ there is $\delta>0$ such that $0<|x-a|<\delta$ implies $|f(x)-L|<\varepsilon$.

 Back to article page