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\begin{document}


\title{On-line Math 21}


\email{david.johnson@lehigh.edu}


\urladdr{http://www.lehigh.edu/\textasciitilde{}dlj0}

\maketitle
\begin{example}
\( a_{n}=1/2^{n} \) 
\end{example}
\begin{description}
\item [Solution:]For this, all you need to see is that, as \( n \) increases, the
denominator, \( 2^{n} \) increases (very quickly), and increases without bound.
So, the fraction \( a_{n}=1/2^{n} \) decreases down to 0. So, we say that the
limit of this sequence is 0, or \[
\lim _{n\rightarrow \infty }\frac{1}{2^{n}}=0.\]

\item [Back]~\end{description}

\end{document}
