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\begin{document}


\title{On-line Math 21}


\email{david.johnson@lehigh.edu}


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

\maketitle

\subsection{Examples of basic limits}

\begin{example}
Let \( f(x)=3x^{2}+1 \). Then \[
\lim _{x\rightarrow 2}f(x)=13.\]

\end{example}

\subsubsection*{Solution}

You can see this most easily by simply plugging into the expression for \( f(x) \)
at \( x=2 \). That ought to be the value of \( f(2) \) since \( f(x) \) has
such a simple expression, and that is the case. The general situation of why
and when you can evaluate some limits just by plugging in are explained in the
section on continuity, and on computing limits.


\subsubsection*{Back}
\end{document}
