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\begin{document}
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\begin{center} Quiz 6, Calculus 2
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\normalsize

\textbf{Name:} \underline{\hspace{3in}}

\begin{enumerate}
\item (5 points) Use the Maclaurin series for $\cos x$ to obtain the Maclaurin series for $$x\cos \left(\frac{x^2}{2}\right).$$

\newpage 

\item (5 points) Find a power series representation for $$\d\frac{5x}{(1-x)^2}$$ \underline{and} determine the radius of convergence.


\end{enumerate}
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