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\noindent Quiz 1

\noindent Math 336, Winter `00

\vspace*{.2in}
\noindent Give the definition of uniform convergence. (5 points)
\vspace*{2.5in}

\noindent Following are three sequences of functions 
$f_n:(0,\pi)\to\mathbf{R}$.  Two converge pointwise, and one converges 
uniformly.  Indicate which sequence does which. (5 points)

\begin{enumerate} 
\item $f_n(x) = \displaystyle\frac{\sin x}{n}$.
\bigskip
\item $f_n(x) = \displaystyle\frac{1}{n\sin x}$.
\bigskip
\item $f_n(x) = \sin(nx)$.
\end{enumerate}.


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