Answer
$\exists$ a real number $\epsilon > 0$ such that $\forall$ real numbers $\delta > 0$, $\exists$ a real number $x$, such that $a - \delta < x < a+ \delta, x \neq a$ and either $L - \epsilon \geq f(x)$ or $f(x) \geq L + \epsilon$.
Work Step by Step
Recall the negation of a for all statement:
~($\forall x$ in D, P(x)) $\equiv \exists x$ in D such that ~P(x).
Recall the negation of an exists statement:
~($\exists x$ in D, P(x)) $\equiv \forall x$ in D such that ~P(x).
To negate a multiply quantified statement, apply the laws in stages moving left to right along the sentence.
