\begin{frame}{Exercise (4)} \bigskip\bigskip \begin{exampleblock}{} Show that the following language is regular: \begin{talign} \{\,a^{2n+1} \mid n\geq 0 \,\} \cup \{\, b^{2n} \mid n \ge 0\,\} \end{talign} \emph{Construct a deterministic finite automaton} for the language. \end{exampleblock} \bigskip \begin{center} \includegraphics[height=35mm]{images/thinking.jpg} \end{center} \vspace{10cm} \end{frame}