<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">{
   \begin{eqnarray*}
      \lim_{x\to1}\frac{x^m-1}{x^n-1}
      &amp; = &amp; \lim_{x\to1}\frac{(x-1)(x^{m-1} + \ldots + 1)}
                             {(x-1)(x^{n-1} + \ldots + 1)}           \\
      &amp; = &amp; \lim_{x\to1}\frac{x-1}{x-1}\cdot\frac
            {\lim_{x\to1}(x^{m-1} + \ldots + 1)}
            {\lim_{x\to1}(x^{n-1} + \ldots + 1)}                     \\
      &amp; = &amp; \frac mn
   \end{eqnarray*}
   }</pre></body></html>