Chapter 12 - Functions of Several Veriables - 12.3 Limits and Continuity - 12.3 Exercises - Page 892: 10

$$ - 1$$

$$\eqalign{ & \mathop {\lim }\limits_{\left( {x,y,z} \right) \to \left( {1,1, - 1} \right)} x{y^2}{z^3} \cr & {\text{Evaluate the limit }} \cr & \mathop {\lim }\limits_{\left( {x,y,z} \right) \to \left( {1,1, - 1} \right)} x{y^2}{z^3} = \left( 1 \right){\left( 1 \right)^2}{\left( { - 1} \right)^3} \cr & {\text{Simplifying}} \cr & \mathop {\lim }\limits_{\left( {x,y,z} \right) \to \left( {1,1, - 1} \right)} x{y^2}{z^3} = - 1 \cr} $$