Once again, the textbook from which this question comes from has no prior example which I could reference to even possibly answer this.

If $\displaystyle \epsilon>0$, show that $\displaystyle |2x^2-6xy+5y^2|<\epsilon$ when $\displaystyle (x^2+y^2)^{1/2}<(\epsilon/13)^{1/2}$.

My Prof. is a true sadist...