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\usepackage{polski}
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\usepackage{polski}
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\usepackage{amsmath}
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\usepackage{amsmath}
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\newtheorem{thm}{Theorem}
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\newtheorem{thm}{Theorem}
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\newtheorem{df}{Defenition}
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\newtheorem{df}{defenition}
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\begin{document}
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\begin{document}
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\begin{enumerate}
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\begin{enumerate}
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@ -24,14 +24,14 @@ f(x)=\sum_{\substack{n=0\\ k=2}}^\infty a_n^k
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\item Properly typeset the following theorem
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\item Properly typeset the following theorem
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\begin{thm}[Cauchy--Hadamard]
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\begin{thm}[Cauchy--Hadamard]
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\noindent\textbf{Theorem 1} (Cauchy--Hadamard) \emph{The radius of convergence $R$ of the power series
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The radius of convergence $R$ of the power series
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\[
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\[
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\sum_{n=0}^\infty a_n(z-z_0)^n\ \ \ \ \ |z-z_0|<R
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\sum_{n=0}^\infty a_n(z-z_0)^n\ \ \ \ \ |z-z_0|<R
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\]
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\]
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can by calculated via the following formula
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can by calculated via the following formula
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\[
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\[
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\frac{1}{R}=\limsup_{n\to\infty} \sqrt[n]{|a_n|}.
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\frac{1}{R}=\limsup_{n\to\infty} \sqrt[n]{|a_n|}.
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\]}
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\]
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\end{thm}
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\end{thm}
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