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2.tex

\documentclass[11pt,a4paper]{article}

\title{Integrals, Sums and Limits}

\author{Dr. Neeraj Kumar Sharma}

\date{}

\begin{document}

\maketitle

\section{Integrals}

Integrals \int_{a}^{b}x^2 dx inside text

The same integral on display:\int_{a}^{b} x^2 dx and multiple integrals:

\int\int_{V}\mu(u,v)\hspace{3pt}du\hspace{3pt}dv
\int\int\int_{V}\mu(u,v,w)\hspace{3pt}du\hspace{3pt}dv\hspace{3pt}dw
\oint_{V} f(s)\hspace{3pt}ds

\section{Sums and products}

Sum \sum_{n=1}^{\infty} 2^{-n} = 1 inside text.

The same sum on display:

\sum_{n=1}^{\infty}2^{-n} = 1

Product \prod_{i=a}^{b}f(i) inside text.

The same product on display:

\prod_{i=a}^{b}f(i)

\section{Limits}

Limit \lim_{x\to\infty}f(x) inside text.

The same limit on display:

\lim_{x\to\infty}f(x)

\end{document}