Prove that if \begin{equation}\lim_{x\to a-}\,f(x)\neq \lim_{x\to a+}\,f(x)\end{equation} then \begin{equation}\lim_{x\to a\,}\,f(x)\end{equation} does not exist.
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Lesson Parent:
Problem:
Prove that if \begin{equation}\lim_{x\to a-}\,f(x)\neq \lim_{x\to a+}\,f(x)\end{equation} then \begin{equation}\lim_{x\to a\,}\,f(x)\end{equation} does not exist.
Answer:
It is true that if \begin{equation}\lim_{x\to a-}\,f(x)\neq \lim_{x\to a+}\,f(x)\end{equation} then \begin{equation}\lim_{x\to a\,}\,f(x)\end{equation} does not exist.
