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10.1 - Limits
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<h2>[10.1] - Limits
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<p>Try to estimate the following limits by graphing, or by plugging small values for $x$ and $y$ into the appropriate functions. Remember that path independence is important-so try different paths.  If the limit exists (or if the limit is $\pm \infty$) indicate that.  If the limit does not exist, explain why.

<p><img src="0g/11.2.Limits.jpg">
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<li> 5
<li> $+\infty$ (so DNE)
<li> $-\infty$ (so DNE)
<li> 2
<li>0, I think!
<p>I'm trying $y=mx\Rightarrow z=\frac{m^2x^5}{x^4+mx^8}$ and all of those look like they approach zero.
<p>This leaves out one approach, along the line $y=0$, but if we try that
$z=0/x^2$, so again it looks like it approaches 0.
<p>Though a <a href="https://www.geogebra.org/3d/su5nn3wm">surface plot</a> sure looks awful!


<li>0<p> <a href="https://www.geogebra.org/3d/hnqqvtdg">surface plot of $x^3/(x^2+y^2)$</a>

<li>0 <p> as long as we agree to approach only from  the <a href="https://www.geogebra.org/3d/hmxmw4hw">first quadrant</a>.

<li>0 <p><a href="https://www.geogebra.org/3d/mssq7bus">surface plot</a>
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