This is LaTeX code:

[latex]
\forall c \in A,\ \forall \varepsilon > 0,\ \exists \delta > 0,\ \left(f\left(A \cap K\left(c,\, \delta\right) \setminus \left\{c\right\}\rigth) \subseteq K\left(f\left(c\right),\, \varepsilon\right)\right)
[/latex]