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+% Document MUST be built with XeLaTeX!
+\documentclass[11pt,a4paper]{article}
+
+\usepackage[left=3.5cm, right=3.5cm]{geometry}
+
+% Поддръжка на български език
+% Thanks to https://tex.stackexchange.com/a/136926
+\usepackage{fontspec}
+\defaultfontfeatures{Ligatures=TeX}
+\setmainfont{CMU Serif}
+\setsansfont{CMU Sans Serif}
+
+\usepackage[bulgarian,english]{babel}
+
+\usepackage{amsmath} % Математически символи
+\usepackage{hyperref} % Линкове
+
+\title{\vspace{-3cm}Домашна работа 1 по ДИС 1, за спец. КН 1 курс, 2 поток}
+\author{Камен Димитров Младенов, Група 6}
+\date{14 Ноември 2021}
+
+\begin{document}
+
+\maketitle
+
+\paragraph{Задача 1.}
+
+Изследвайте функцията за обратимост. Намерете максимален интервал
+на обратимост, както и нейната обратна
+
+\begin{equation*}
+	f(x) = \log_{5} (x^2 - 2x + 1)
+\end{equation*}
+
+\paragraph{Решение}
+
+[TODO]
+
+\hfill
+
+\paragraph{Задача 2.}
+
+Докажете тъждеството
+
+\begin{equation*}
+	\arcsin{\left( 2x \sqrt{1-x^2} \right)} = \pi - 2 \arccos(x)\text{, където } x \in \left[ \frac{-\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right]
+\end{equation*}
+
+\paragraph{Решение}
+
+[TODO]
+
+\hfill
+
+\paragraph{Задача 3.}
+
+Пресметнете границата на редицата
+
+\begin{equation*}
+	\lim_{x \to \infty} \frac{\sqrt[n-5]{n-5} + 2^{2n} + n^{12}}{10^n-n^3+(-1)^{3n + 5}}
+\end{equation*}
+
+\paragraph{Решение}
+
+[TODO]
+
+\hfill
+
+\paragraph{Задача 4.}
+
+Пресметнете границата на редицата.
+
+\begin{equation*}
+	\lim_{n \to \infty} \left( \frac{n^2 - 5n + 14}{n^2 + 1} \right)^{\frac{n^2-n+2}{n+5}}
+\end{equation*}
+
+\paragraph{Решение}
+
+[TODO]
+
+\end{document}
\ No newline at end of file