diff --git a/main/math.tex b/main/math.tex
index 1e1e552..acff4cd 100644
--- a/main/math.tex
+++ b/main/math.tex
@@ -34,6 +34,11 @@
 \newcommand{\mbeq}{\overset{!}{=}}
 \newcommand{\lcm}{\text{lcm}}
 \newcommand{\limit}[2]{\lim_{#1 \rightarrow #2}}
+\newcommand{\seq}[1]{(#1_n)_{n \geq 1}}
+\newcommand{\ser}[2]{\sum_{k = 1}^{#2} #1_k}
+\newcommand{\limni}{\limit{n}{\infty}}
+\newcommand{\liminfni}{\liminf_{n \rightarrow \infty}}
+\newcommand{\limsupni}{\limsup_{n \rightarrow \infty}}
 \DeclareMathOperator\arctanh{arctanh}
 \DeclareMathOperator\arcosh{arcosh}
 \DeclareMathOperator\arcsinh{arcsinh}