Stuck on a Limit Question in Multivariable Calculus I have just started learning about limits in my multivariable class and I came to a problem: 
Let $$h(x,y)=\frac{x^5y}{2x^{10}+y^2}.$$
How would I prove that
$$
\lim_{(x,y) \to (0,0)} h(x,y) \text{ Does Not Exist}
$$
When I used polar coordinates ($x=r\cos(\theta),y=r\sin(\theta)$), I keep on getting that the limit is 0. I don't know how to do this. A friend said to look at the squeeze theorem, but I don't know how that applies here.
I asked this question earlier and I didn't receive answers that were up to my level of learning. I mentioned this on there but the answer I got was wrong.

hint:Two paths: $y = x^5$, and $y = 2x^5$ will do.
