\begin{frame} \frametitle{Precise Definition of Limits - Example} \begin{alertblock}{} \mpause[1]{If}\hphantom{then}the next exam will be insanely hard,\\ \mpause[1]{then}\hphantom{if}many students will fail. \end{alertblock} \pause\pause\bigskip The words \alert{if} and \alert{then} are hugely important! \pause\bigskip \begin{exampleblock}{} In exams many students write: \begin{itemize} \item[] $0<|x-3| <\frac{\epsilon}{4}$ \item[] $|(4x-5) - 7| < \epsilon$ \end{itemize} which is wrong. \pause\bigskip Correct is: \begin{itemize} \item[] \alert{If }$0<|x-3| <\frac{\epsilon}{4}$ \item[] \alert{then }$|(4x-5) - 7| < \epsilon$ \end{itemize} \end{exampleblock} \end{frame}