Find \(\displaystyle{a},{r}{>}{0}\) such that \(\displaystyle\lim_{{{n}\to\infty}}{n}^{{r}}\cdot{\frac{{{1}}}{{2}}}\cdot{\frac{{{3}}}{{4}}}\cdots{\frac{{{2}{n}-{1}}}{{{2}{n}}}}={a}\)

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
$f(x,y)=x^3-6xy+8y^3$

$\frac{1}{\sec <!--\; \; -->(x)}$ in derivative?

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