Find the limist if it exists for a 3-variable function

[zhuyilun]

Homework Statement

lim(e^(-x*y) * sin( pi * z/2) as (x,y,z) approaches (3,0,1)

Homework Equations

The Attempt at a Solution

i know how to find the limit exists or not for a 2-variable function which is just set x=o;y=0;x=y
how can this method applies here

 

[n!kofeyn]

Remember that the first approach when computing any limit is to just substitute the point that you are approaching.

 

[Dick]

Remember that the first approach when computing any limit is to just substitute the point that you are approaching.

And think about whether the function is continuous there, right?