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\begin{center}
{\Large \textbf{Matematika A1 építőkari hallgatóknak}\\
Függvények határértéke (2006.~10.~11.)}\\ 
(gyak. vez.: Rudas Anna)
\end{center}

\begin{enumerate} 

\item \[\lim_{x\to 0}\frac{3x^4+2x^2}{x^5+3x^3+2x^2}\]

\item \[\lim_{x\to 2}\frac{x^2-5x+6}{x^2+3x-10}\]

\item \[\lim_{x\to 2}\frac{\sqrt{7+x}-\sqrt{5x-1}}{\sqrt{6x+4}-\sqrt{7x+2}}\]

\item \[\lim_{x\to 0}\frac{\sqrt 5-\sqrt{5-x+x^2}}{x}\]

\item \[\lim_{x\to 0}\frac{\sin 2x}{4x}\]

\item \[\lim_{x\to 0}\frac{x}{\sqrt{1-\cos x}}\]

\item \[\lim_{x\to 0}\frac{1-\cos x}{x}\]

\item \[\lim_{x\to 0}\frac{1-\cos x}{x^2}\]

\item \[\lim_{x\to \infty}\frac{\sqrt [3]{x^{10}}-
         \sqrt [3]{x^2}}{8\sqrt [3]{x^{10}}+\sqrt [3]{x}}\]

\end{enumerate}
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