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{\bf Math 166: Honors Calculus II}
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{\bf Quiz 5}\quad {\sl Feb. 24, 2000}

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\item Define the Taylor polynomial $T_nf(x;a)$ of a function $f(x)$
centered at the point~$a$.

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\item Show that $\frac{d}{dx}T_nf(x) = T_{n-1}f'(x)$.

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\item  Determine the Taylor polynomial
$T_{90}\Big(\frac{1+x^{30}}{1+x^{60}}\Big)$.

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