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%TCIDATA{<META NAME="Title" CONTENT="Limits">}
%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
%TCIDATA{LastRevised=Thu Feb 13 22:27:53 1997}
%TCIDATA{Language=American English}
%TCIDATA{CSTFile=Help.cst}

\input{tcilatex}
\begin{document}


\section{Limits}

You add limits to \hyperref{operators}{}{}{Operators.tex} and \hyperref{%
functions}{}{}{Math_names.tex} with the \hyperref{Subscript}{}{}{%
Subscripts.tex} and \hyperref{Superscript}{}{}{Superscripts.tex} commands.

\subsubsection{$\blacktriangleright $\quad To enter limits}

\begin{enumerate}
\item  Enter the operator or function.

\item  Click\FRAME{itbpF}{22.4375pt}{21.0625pt}{2pt}{}{}{subscrip.wmf}{%
\special{language "Scientific Word";type "GRAPHIC";maintain-aspect-ratio
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"1";cropright "1";cropbottom "0";filename 'Subscrip.wmf';file-properties
"XNPEU";}}, or from the Insert menu, choose Subscript.

\item  Enter the lower limit.

\item  Press Tab.

\item  Enter the upper limit.
\end{enumerate}

You can also enter the subscript and superscript in reverse order.

\subsubsection{$\blacktriangleright $\quad To enter multiline limits}

\begin{enumerate}
\item  Enter the operator.

\item  Enter a subscript or superscript.

\item  Enter the first line of the limit.

\item  With the insertion point at the end of the limit, press Enter.

\item  Enter the next line of the limit.

\item  Press the right arrow or the spacebar to leave the limit.
\end{enumerate}

You can edit multiline limits the same way you edit \hyperref{column vectors%
}{}{}{Vectors.tex}.

By default, limits in \hyperref{in-line mathematics}{}{}{%
Glossary.tex#in-line mathematics} are set to the right in a small-size font,
and limits in \hyperref{displayed mathematics}{}{}{Glossary.tex#displayed
mathematics} are set above and below in a full-size font. Limits for
integral operators are an exception; they are always set to the right in a
small-size font. You can override the default when you enter or revise an
operator or function by changing the \hyperref{limit position}{}{}{%
Limit_position.tex} and the \hyperref{size}{}{}{Size.tex}.\medskip

\subsection{$\ $Related topic}

\begin{itemize}
\item  \hyperref{Operators}{}{}{Operators.tex}
\end{itemize}

\rule{0.67in}{0.01in}

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"XNPEU";}}}{}{}{index.tex}{\small \hyperref{Default settings}{}{}{%
index.tex#Default settings}, \hyperref{Displayed mathematics}{}{}{%
index.tex#Displayed mathematics}, \hyperref{Entering mathematics}{}{}{%
index.tex#Entering mathematics}, \hyperref{Function}{}{}{index.tex#Function}%
, \hyperref{In-line mathematics}{}{}{index.tex#In-line mathematics}, 
\hyperref{Limits}{}{}{index.tex#Limits}, \hyperref{Multiline limits}{}{}{%
index.tex#Multiline limits}}

\end{document}
