Prove that \begin{equation}\lim_{x\to a}\,x\,g(x)=a\,K. \end{equation}
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Lesson Parent:
Problem:
Prove that if
\begin{equation}
\lim_{x\to a}\,g(x)=K
\end{equation}
then
\begin{equation}
\lim_{x\to a} x\,g(x)=a\,K.
\end{equation}
Answer:
It is true that \begin{equation}\lim_{x\to a}\,x\,g(x)=a\,K. \end{equation}
