Is it possible to carry the modulus sign $| . |$ in two lines. I just put a mwe for a hypothetical example. Thank you for any suggestions.
\documentclass{article}
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\begin{document}
\begin{equation*}
\begin{split}
\left| \sum_{n=1}^{\infty} (-1)^n (2x+1)^{n} \sin \left( \frac{\pi}{2} x^n \right) \right|&=\left| -(2x+1) \sin \left( \frac{\pi}{2} x \right) + (2x+1)^2 \sin \left( \frac{\pi}{2} x^2 \right) - (2x+1)^3 \sin \left( \frac{\pi}{2} x^3 \right) + (2x+1)^4 \sin \left( \frac{\pi}{2} x^4 \right) \\
&\dots +(-1)^{n-1} (2x+1)^{n-1} \sin \left( \frac{\pi}{2} x^{n-1} \right) +(-1)^n (2x+1)^n \sin \left( \frac{\pi}{2} x^n \right) \right|
\end{split}
\end{equation*}
\end{document}

\left|...\right|across a break in an equation. Using\bigl|...\bigr|or\biggl|...\biggr|(as suggested in How to make\left,\rightpairs of delimiter work over multiple lines?) works. image. – Werner Mar 14 '18 at 22:19