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Update README.md
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Signed-off-by: Fabiana Campanari <fabicampanari@gmail.com>
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FabianaCampanari authored May 28, 2024
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Expand Up @@ -148,15 +148,15 @@ Result: The limit of the function as ( x ) approaches 1 is simply $$\frac{1}{4}$

In this case, we can use L'Hôpital's rule, as the limit is of the form \(\frac{0}{0}\) or \(\frac{\infty}{\infty}\) when \(x\) tends to infinity.

\[
$$\
\begin{align*}
\lim_{{x \to \infty}} \frac{{x^2}}{{2x^2 - x}} &= \lim_{{x \to \infty}} \frac{{\frac{d}{dx}[x^2]}}{{\frac{d}{dx}[2x^2 - x]}} \\
&= \lim_{{x \to \infty}} \frac{{2x}}{{4x - 1}} \\
&= \lim_{{x \to \infty}} \frac{{2}}{{4 - \frac{1}{x}}} \\
&= \frac{2}{4} \\
&= \frac{1}{2}
\end{align*}
\]
\$$



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