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\documentclass[a4paper]{article}
\usepackage{lmodern}
\usepackage{amssymb,amsmath}
\usepackage[T1]{fontenc}
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\begin{document}
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$$\sum \limits_{i=1}^{n^2}(x+2)$$
$$\prod \limits_{j=1}^{100}(3 \cdot x)$$
$$\lim_{x \rightarrow \infty}(14x^3 - 12)$$
$$\int \limits_{-12}^{4}(14x^3 - 12)$$
\end{document}