\documentclass[12pt]{article}
\usepackage[paperheight=105mm,paperwidth=74mm,margin=4mm]{geometry}
\pagenumbering{gobble}
\setlength{\parindent}{0pt}
\usepackage{libertinus}
\usepackage{fontspec}
\usepackage{unicode-math}
\begin{document}

$$
  \projlim_{i \in I} A_i = \varprojlim_{i \in I} A_i
$$

Inline: $\projlim_{i \in I} A_i = \varprojlim_{i \in I} A_i$


$$
  \injlim_{i \in I} A_i = \varinjlim_{i \in I} A_i
$$

Inline: $\injlim_{i \in I} A_i = \varinjlim_{i \in I} A_i$

$$
  \limsup_{n \to \infty} a_n = \varlimsup_{n \to \infty} a_n
$$

Inline: $\limsup_{n \to \infty} a_n = \varlimsup_{n \to \infty} a_n$

$$
  \liminf_{n \to \infty} a_n = \varliminf_{n \to \infty} a_n
$$

Inline: $\liminf_{n \to \infty} a_n = \varliminf_{n \to \infty} a_n$
\end{document}
