Prove that \begin{equation}\lim_{x\to a}\,\frac{1}{f(x)}=\frac{1}{L}.\end{equation}
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Lesson Parent:
Problem:
Prove that \begin{equation}\lim_{x\to a}\,\frac{1}{f(x)}=\frac{1}{L}\end{equation} if
\begin{equation}
\lim_{x\to a}\,f(x)=L
\end{equation}
and $L\neq 0$.
Answer:
It is true that \begin{equation}\lim_{x\to a}\,\frac{1}{f(x)}=\frac{1}{L}.\end{equation}
