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\title{Φύλλο Εργασίας 1}
\author{Δέσποινα Καμπύλη Α.Μ.: 11936}
\begin{document}
\maketitle
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\section{Άσκηση 1} :
\subsection{ii} 
\begin{equation}
(n+1)^5=(n+1)^3(n+1)^2=(n^3+3n^2+3n+1)(n^2+2n+1)=
(n^5)+5(n^4)+10(n^3)+10(n^2)+5n+1\leq (n^5)+5(n^5)+10(n^5)+10(n^5)+5(n^5)+n^5=32(n^5)\in O(n^5)
\end{equation}
\subsection{iii}
\begin{equation}


\end{equation}
\label{LastPage}
\end{document}
