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Lesson Specific Problems

  • Prove that \begin{equation}\lim_{x\to a}\,|x|=|a|.\end{equation}
  • Prove that \begin{equation}\lim_{x\to a}\,x=a.\end{equation}
  • Prove that the limit of a constant number is that number. Show that \begin{equation} \lim_{x\to a}\,K=K \end{equation} where $K$ is a constant.
  • Prove that \begin{equation}\lim_{x\to a}\,(m\,x+b)=m\,a+b \end{equation} whem $m$ is not zero.
  • Prove that \begin{equation}\lim_{x\to 2}\,2x-1=3.\end{equation}

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