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\usepackage[turkish]{babel}

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\usepackage{amsmath,amsthm,amssymb}
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\newcommand{\R}{\mathbb R}
\newcommand{\N}{\mathbb N}
\renewcommand{\subset}{\subseteq}
\begin{document}
\title{Analiz k\i sa s\i nav\i}
\author{David Pierce}
\date{20 \c Subat 2012}
\maketitle\thispagestyle{empty}
%{\large \textbf{Analiz k\i sa s\i nav\i} (David Pierce), 20 \c Subat 2012}

$X\subset\R$ ve $a\in X$ olsun.
\begin{problem}
$U$ ile $V$ k\"umeleri, $a$ noktas\i n\i n $X$-kom\c suluklar\i ysa, $U\cap V$ kesi\c siminin $a$ noktas\i n\i n bir $X$-kom\c sulu\u gu oldu\u gunu g\"osterin.
\end{problem}

\begin{problem}
$\N$ k\"umesindeki her $n$ i\c cin, $X_n$ k\"umesi, $a$ noktas\i n\i n bir kom\c sulu\u guysa, $\bigcap_{n\in\N}X_n$ kesi\c simi, $a$ noktas\i n\i n bir kom\c sulu\u gu olmal\i\ m\i?
\end{problem}
\end{document}
