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This question already has an answer here:

\begin{eqnarray}
\lim_{n\rightarrow +\infty }d(SAx_n,A^{2}x_n) \leq \frac{1}{3}\left[ \lim_{n\rightarrow +\infty }d(SAx_n,St)+\lim_{n\rightarrow +\infty }d(St,S^{2}x_n) 
+ \lim_{n\rightarrow +\infty }d(St,S^{2}x_n)\right]. \notag
\end{eqnarray}

marked as duplicate by Heiko Oberdiek, Stefan Pinnow, egreg equations Jan 28 '18 at 17:42

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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Here are 4 possibilities. Note this particular equation fits in a singleline if you have sensible margins (i.e. if you don't use margin notes). Also, eqnarray shouldn't be used anymore, as it leads to bad spacing. Use one of the amsmath environment instead.

\documentclass[11pt]{article}
\usepackage{showframe}
\renewcommand{\ShowFrameLinethickness}{0.3pt}
\usepackage{mathtools}

\begin{document}

\begin{align*}
\lim_{n\rightarrow +\infty }d(SAx_n,A^{2}x_n) \leq \frac{1}{3}\Bigl[ & \lim_{n\rightarrow +\infty }d(SAx_n,St)
 \\ + & \lim_{n\rightarrow +\infty }d(St,S^{2}x_n)
  + \lim_{n\rightarrow +\infty }d(St,S^{2}x_n)\Bigr].
\end{align*}
\bigskip

\begin{align*}
\lim_{n\rightarrow +\infty }d(SAx_n,A^{2}x_n) \leq \frac{1}{3}\Bigl[ \lim_{n\rightarrow +\infty }d(SAx_n,St)
 & +\lim_{n\rightarrow +\infty }d(St,S^{2}x_n) \\
 & + \lim_{n\rightarrow +\infty }d(St,S^{2}x_n)\Bigr].
\end{align*}
\bigskip

\begin{flalign*}
   & \mathrlap{\lim_{n\rightarrow +\infty }d(SAx_n,A^{2}x_n) \leq} \\
  & & \frac{1}{3}\Bigl[ & \lim_{n\rightarrow +\infty }d(SAx_n,St)
  +\lim_{n\rightarrow +\infty }d(St,S^{2}x_n) + \lim_{n\rightarrow +\infty }d(St,S^{2}x_n)\Bigr].
\end{flalign*}
\bigskip
\begin{align*}
   & \lim_{n\rightarrow +\infty }d(SAx_n,A^{2}x_n) \leq \\
  \frac{1}{3}\Bigl[ &\lim_{n\rightarrow +\infty }d(SAx_n,St)
  +\lim_{n\rightarrow +\infty }d(St,S^{2}x_n) + \lim_{n\rightarrow +\infty }d(St,S^{2}x_n)\Bigr].
\end{align*}

\end{document}

enter image description here

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