I'm currently trying to realize an annotation on a TikZ plot, where I point out a limiting value (see picture below).

\documentclass[tikz]{standalone}
\begin{document}
\begin{tikzpicture}
\draw [stealth-,thin] (0,0.9)-- +(16pt,0pt) node[right,font=\footnotesize]
{Limiting value: $\lim\limits_{x\rightarrow 0}\omega=0$};
\end{tikzpicture}
\end{document}
The problem that I have is that when I draw a line that connects to the node, my west anchor is not neatly centered to the text, but to the entire node.
Question: How can I get the alignement of my anchor in such a way that the arrow is nicely centered to the text rather than to the entire node?

\documentclassand the appropriate packages so that those trying to help don't have to recreate it.This is especially important for
– Peter Grill Nov 16 '16 at 09:34tikzas there are numerous libraries.