Homework Statement
Evaluate the following limit as (x,y,z) --> (0,0,0), if it exists:
f(x,y,z)=xyz/x^3+y^3+z^3
2. Other relevant equations
I already know that f(x,y)=xy/x^3+y^3 doesn't exist, from a previous exercise. Hence, I suspect that this limit does not exist.
The Attempt...