GAIN AN ADVANTAGE
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Lesson Specific Problems
- Prove that \begin{equation}\lim_{x\to a}\,f(x)/g(x)=L/K\end{equation} if $K\neq 0$.
- Prove that \begin{equation}\lim_{x\to a}\,K=K\end{equation} where $K$ is a constant.
- Prove that \begin{equation}\lim_{x\to a}\,x^2=a^2.\end{equation}
- Prove that \begin{equation}\lim_{x\to a}\,x\,g(x)=a\,K. \end{equation}
- Prove that \begin{equation}\lim_{x\to a}\,x^n=a^n.\end{equation}