Moderate# Behavior Of $(x^4-2y^2)/(x^4+y^2)$ Near The Origin

MVCALC-XQ70PT

Choose the correct statement concerning the function $f$ defined for all real $x$ and $y$ such that $(x,y)\ne (0,0)$ by:

$$f(x,y)=\cfrac{x^4-2y^2}{x^4+y^2}$$

...and $f(0,0)=0$.