This is LaTeX code:
[latex]
\forall x \in A,\ \left\|x-c\right\| < \min\left\{\delta_1,\, \delta_2\right\} \Longrightarrow \left\|g\left(x\right)-g\left(c\right)\right\|\leq M_1\left\|x-c\right\|
[/latex]