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I found this link on how to typeset continued fractions. The form I want is the following: enter image description here with dots in between as illustrated. Thanks in advance.

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\documentclass{article}
\usepackage{stackengine,amsmath}
\stackMath
\begin{document}
\[
a_0 + \frac{1\kern6em}{\displaystyle
  a_1 + \frac{1\kern5em}{\displaystyle
    a_2 +\stackunder{}{\ddots\stackunder{}{\displaystyle
      {}+ \frac{1}{\displaystyle
        a_{n-1} + \frac{1}{a_n}}}
}}}
\]
\end{document}

enter image description here

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