[Tex/LaTex] New symbol of infinity similar to a ‘w’ or omega

Question

I would like to have a symbol that is similar to a w ou a omega, and I want it to be made from the infinity symbol \infty by 'erasing' the top part of it. I would prefer to trim out only the "upper v" part of the infinity symbol, as to have the new symbol resemble more an omega.

Answer 1

Based on the original guidance to trim the upper part, one can adjust the .4\LMex clipping amount to suit the desired look.

\documentclass{article}
\usepackage{trimclip,scalerel}
\newcommand\altinfty{\ThisStyle{\clipbox{0pt 0pt 0pt .4\LMex}{$\SavedStyle\infty$}}}
\begin{document}
$\lim x \rightarrow \altinfty$

$\scriptstyle\lim x \rightarrow \altinfty$

$\scriptscriptstyle\lim x \rightarrow \altinfty$
\end{document} 

ADDENDUM

Based on a comment by the OP, an alternative, rather than clipping, is to overlay a strategically placed white rectangle:

\documentclass{article}
\usepackage{xcolor,stackengine,scalerel}
\newcommand\altinfty{\ThisStyle{\stackinset{c}{-.1pt}{t}{-.08\LMex}
  {\textcolor{white}{\rule{1.5\LMex}{.6\LMex}}}{$\SavedStyle\infty$}}}
\begin{document}
$\lim x \rightarrow \altinfty$

$\scriptstyle\lim x \rightarrow \altinfty$

$\scriptscriptstyle\lim x \rightarrow \altinfty$
\end{document}