📘 LaTeX Practical 7
Summation · limits · fractions · integrals · equation numbering & referencing
❓ Question 7: Create a mathematical document that demonstrates summation, limits, fractions, and integrals, with proper equation numbering and referencing.
⌨️ LaTeX Source Code
\documentclass[12pt]{article}
\usepackage{amsmath}
\title{Mathematical Expressions}
\author{ARO Study Circle}
\date{\today}
\begin{document}
\maketitle
\section{Mathematical Equations}
The summation formula is given by Equation \eqref{1}.
\begin{equation}
S_n = \sum_{i=1}^{n} i \tag{1}
\end{equation}
The following equation demonstrates a limit:
\begin{equation}
\lim_{x \to 0} \frac{\sin x}{x} = 1 \tag{2}
\end{equation}
A fraction can be written as:
\begin{equation}
\frac{a + b}{c + d} \tag{3}
\end{equation}
An integral is represented by:
\begin{equation}
\int_{0}^{1} x^2 dx = \frac{1}{3} \tag{4}
\end{equation}
Equation \eqref{2} shows a standard limit, while Equation \eqref{4} represents a definite integral.
\end{document}
📖 Explanation of Commands
equationenvironment automatically numbers equations.\sumcreates a summation symbol.\limcreates a limit.\frac{}{}creates a fraction.\intcreates an integral.\label{}assigns a reference name to an equation.\eqref{}refers to the numbered equation.\,adds a small space before the differential dx.
📄 Compiled PDF Output
Mathematical Expressions
August 21, 2026
1 Mathematical Equations
The summation formula is given by Equation (1).
\begin{equation} S_n = \sum_{i=1}^{n} i \tag{1} \end{equation}The following equation demonstrates a limit:
\begin{equation} \lim_{x \to 0} \frac{\sin x}{x} = 1 \tag{2} \end{equation}A fraction can be written as:
\begin{equation} \frac{a + b}{c + d} \tag{3} \end{equation}An integral is represented by:
\begin{equation} \int_{0}^{1} x^2 dx = \frac{1}{3} \tag{4} \end{equation}Equation (2) shows a standard limit, while Equation (4) represents a definite integral.
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