Question
$5-22$ Find the limit, if it exists, or show that the limit doesnot exist.$$\lim _{(x, y \rightarrow(0,0)} \frac{6 x^{3} y}{2 x^{4}+y^{4}}$$
Step 1
For the limit to exist, it must be the same regardless of the path we take to approach $(0,0)$. We will consider several paths: the y-axis, the line $y=x$, and the line $y=-x$. Show more…
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