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\DefineCharStyle{2D Output}

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\begin{document}

\textbf{Math 126: Calculus II}
\hfill\makebox[2.5in][r]{Name:\hrulefill}

\textbf{Quiz 7}\quad \textsl{October 24, 2000}
\hfill\makebox[2.5in][r]{Section:\hrulefill}

\bigskip

1. Find the limit of the sequence
\begin{displaymath}
a_n= \left(\frac {x^n}{2n+1}\right)^{1/n}+ \ln \left(1+\frac 1n\right)^n
\end{displaymath}
carefully {\bf showing your work} and {\bf
all} important steps.

\answerspace


2.  Calculate 
\begin{math}
\sum _{n=1}^\infty e^{-2n}
\end{math}, 
carefully {\bf showing your work} and {\bf
all} important steps.



\answerspace



\textbf{Bonus} (3 points)
Here is a snapshot of Judy's Maple session.
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{1d}{a := i -> sin(i)/i;}{%
}
\end{mapleinput}

\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{a := proc (i) options operator, arrow; sin(i)/i end proc;}{%
\[
a := i\rightarrow {\displaystyle \frac {\mathrm{sin}(i)}{i}} 
\]
%
}
\end{maplelatex}

\end{maplegroup}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{1d}{seq(a(i),i=1..5):}{%
}
\end{mapleinput}

\end{maplegroup}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{1d}{a(10):}{%
}
\end{mapleinput}

\end{maplegroup}
\begin{maplegroup}
\begin{mapleinput}
\end{mapleinput}

\end{maplegroup}
She inadvertently suppressed the output of the second and third 
command.  

\smallskip
a. What is the output from the second command?  \textbf{Do not} use
a calculator.  Give an exact answer.

\bigskip

\  

\bigskip

b.  What is the output from the third command? \textbf{Do not} use
a calculator.  Give an exact answer.
\end{document}
%% End of Maple 6 Output







\end{document}



