- #1
Yuqing
- 218
- 0
Homework Statement
Find the limit of
[tex]\lim_{(x,y)\rightarrow (0,0)}\frac{x^2y^2}{x^3+y^3}[/tex]
Homework Equations
I'd like to solve this in a rather elementary manner, so preferably only using the squeeze theorem or through proving the limit doesn't exist via multiple path approach.
The Attempt at a Solution
I've tried substituting y = mxn in general and I've tried bounding the denominator. All to no avail. All paths I've tried so far lead to 0 but I am still not certain that the limit actually exists.