<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">{Najdi limity
$$
   \lim_{x\to0}\frac{x^2-1}{2x^2-x-1};\qquad\lim_{x\to1}\frac{x^2-1}{2x^2-x-1};
   \qquad\lix\frac{x^2-1}{2x^2-x-1}.
$$}{
\begin{eqnarray*}
   \lim_{x\to0}\frac{x^2-1}{2x^2-x-1} &amp; = &amp;
         \frac{0^2-1}{2\cdot0^2-0-1}\;=\;1;\\
   \lim_{x\to1}\frac{x^2-1}{2x^2-x-1} &amp; = &amp;
         \lim_{x\to1}\frac{(x-1)(x+1)}{(x-1)(2x+1)}\\
   &amp; = &amp; \lim_{x\to1}\frac{x+1}{2x+1}\;=\;\frac23;\\
   \lix\frac{x^2-1}{2x^2-x-1}         &amp; = &amp;
         \lix\frac{x+1}{2x+1}\\
   &amp; = &amp; \lix\left(\frac12+\frac1{4x+2}\right)\;=\;\frac12.
\end{eqnarray*}
}
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