Figure

Figure 21

$\lim\limits_{(x, y, z)\rightarrow (x_{0}, y_{0}, z_0)} f(x,y,z)=L$ means that for any

$\varepsilon >0$ , there is a

$\delta >0$ , so that whenever

$(x,y,z) \neq (x_0,y_0,z_0)$ is within

$\delta$ of

$(x_{0},y_{0},z_{0})$ , then

$w=f(x,y,z)$ is within

$\varepsilon$ of

$L$ .