Evaluate the following limit: <math xmlns="http://www.w3.org/1998/Math/MathML" display="block"> <munder> <mo movablelimits="true" form="prefix">lim</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> <mo>&#x2212;<!-- − --></mo> <mi mathvariant="normal">&#x221E;<!-- ∞ --></mi> </mrow> </munder> <mfrac> <mrow> <mn>8</mn> <msup> <mi>x</mi> <mn>4</mn> </msup> <mo>+</mo> <mn>3</mn> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>&#x2212;<!-- − --></mo> <mi>x</mi> </mrow> <msqrt> <mn>9</mn> <msup> <mi>x</mi> <mn>8</mn> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <msup>

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
$f(x,y)=x^3-6xy+8y^3$

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