Union symbol (∪) in LaTeX

In this tutorial, I will show you how to get the different styles of Union symbols in LaTeX and use limits with this symbol.

If you want a small size of the Union symbol then you can use the \cup command and to get a big union symbol you can use the \bigcup command.

Command	Output
\cup
\bigcup

\documentclass{article}
\begin{document} 

  $$ A \cup B $$
  $$ A \bigcup B $$

\end{document}

Output:

Union symbol with limits

If you want to use limits with the Union symbol in LaTeX you can use this,

\cup_{<lower>}^{<upper>} or use \bigcup_{<lower>}^{<upper>}

\documentclass{article}
\begin{document} 
\underline{Union symbol with limits:}
  $$ \cup_{i=1}^{n}F_{i} $$
  $$ \bigcup_{i=1}^{n}F_{i} $$

\end{document}

Output:

But you can also control the upper limit and lower limit position in display and inline math mode with \limits and \nolimits commands.

\documentclass{article}
\begin{document} 

\verb|\bigcup| with limits in display math 
$$\bigcup_{i=1}^{n}F_{i}$$
  
\verb|\bigcup| with limits in inline math mode: $\bigcup_{i=1}^{n}F_{i}$\\[4pt]

\verb|\bigcup| with \verb|\limits| in display math mode:
  $$\bigcup\limits_{i=1}^{n}F_{i}$$
  
\verb|\bigcup| with \verb|\limits| in inline math mode: $\bigcup\limits_{i=1}^{n}F_{i}$\\[4pt]

\verb|\bigcup| with \verb|\nolimits| in display math mode:
  $$\bigcup\nolimits_{i=1}^{n}F_{i}$$
  
\verb|\bigcup| with \verb|\nolimits| in inline math mode: $\bigcup\nolimits_{i=1}^{n}F_{i}$

\end{document}

Output:

Other types of union symbols in LaTeX

There are also other types of union symbols. Like disjoint union symbols.

Command	Output
\dot\cup
\uplus
\sqcup