[b][center]Continuity at a Point[/center]Definition: [/b]Suppose [math]U\subset\mathbb{C}[/math] is an open set and [math]f:U\to\mathbb{C}[/math] with [math]z_0\in U[/math]. [br]We say [math]f[/math] is continuous at [math]z_0[/math] if [math]\lim_{z\to z_0}f(z)=f(z_0)[/math].