first commit

miscs/main.tex

@@ -0,0 +1,7 @@
+% !TEX program = lualatex
+\documentclass{article}
+\input{preamble}
+
+\begin{document}
+\input{misc}
+\end{document}

miscs/misc.tex

@@ -0,0 +1,8 @@
+\[
+  \begin{aligned}
+    \lim\limits_{x\to+\infty}\frac{a\sqrt{2x^2+3}+2017}{2x+2018} &= \lim\limits_{x\to+\infty}\frac{a\sqrt{x^2(2 + \frac{3}{x^2})}+2017}{2x+2018} \\
+                                                                 &= \lim\limits_{x\to+\infty}\frac{ax(\sqrt{2+\frac{3}{x^2}}+\frac{2017}{x})}{x(2+\frac{2018}{x})} \\
+                                                                 &= \frac{a\sqrt{2}}{2}
+  \end{aligned}
+\]
+Mà $\lim\limits_{x\to+\infty}\frac{a\sqrt{2x^2+3}+2017}{2x+2018} = \frac{1}{2} \implies \frac{a\sqrt{2}}{2} = \frac{1}{2} \implies a = \frac{\sqrt{2}}{2}$

miscs/preamble.tex

@@ -0,0 +1,36 @@
+\usepackage{array}
+\usepackage{amsmath, amssymb}
+\usepackage{unicode-math}
+\setmathfont{TeX Gyre Termes Math}
+
+\usepackage{graphicx}
+\usepackage{forloop}
+\usepackage{enumitem}
+\usepackage{pgfplots}
+\pgfplotsset{compat=1.18}
+\pgfplotsset{
+  every axis/.append style={
+    axis line style={line width=1pt},
+    tick style={line width=1pt},
+  },
+  every axis plot/.append style={
+    line width=1pt
+  }
+}
+\usepackage[a4paper,margin=2cm]{geometry}
+\usepackage{tasks}
+
+\usepackage{fontspec}
+\setmainfont{TeX Gyre Termes}
+% \setmainfont{Latin Modern Roman}
+
+\usepackage{setspace}
+\setstretch{1.1}
+
+\usepackage{polyglossia}
+\setdefaultlanguage{vietnamese}
+
+\usepackage{tkz-euclide}
+\usetikzlibrary{calc}
+\tkzSetUpLine[line width=0.8pt]
+\tkzSetUpPoint[size=3]