Intersection (∩) symbol in laTeX

In this tutorial, I will show you how to get the Intersection symbol in LaTeX and use limits with this symbol.

To get a small size of the Intersection symbol you can use the \cup command and for a big size, you can use the \bigcap command.

Command	Output
\cap
\bigcap

\documentclass{article}
\begin{document}
  $$ S_1 \cap S_2 $$
  $$ S_1 \bigcap S_2 $$
\end{document}

Output:

Use limits with the Intersection symbol

To use limits with the Intersection symbol, you can use these,

\cap_{<lower>}^{<upper>} or use \bigcap_{<lower>}^{<upper>}

\documentclass{article}
\begin{document}
$$ \cap_{i=1}^{\infty}A_{i} $$
$$ \bigcap_{i=1}^{\infty}A_{i} $$
\end{document}

Output:

In LaTeX inline and display math mode, the position of the upper and lower limits with the Intersection symbol will look slightly different, which you can control with the \limits and \nolimits commands.

\documentclass{article}
\begin{document} 

\verb|\bigcap| with limits in display math 
$$\bigcap_{i=1}^{\infty}A_{i}$$
  
\verb|\bigcap| with limits in inline math mode: $\bigcap_{i=1}^{\infty}A_{i}$\\[4pt]

\verb|\bigcap| with \verb|\limits| in display math mode:
  $$\bigcap\limits_{i=1}^{\infty}A_{i}$$
  
\verb|\bigcap| with \verb|\limits| in inline math mode: $\bigcap\limits_{i=1}^{\infty}A_{i}$\\[4pt]

\verb|\bigcap| with \verb|\nolimits| in display math mode:
  $$\bigcap\nolimits_{i=1}^{\infty}A_{i}$$
  
\verb|\bigcap| with \verb|\nolimits| in inline math mode: $\bigcap\nolimits_{i=1}^{\infty}A_{i}$

\end{document}

Output: