Determine \begin{equation}\lim_{x\to 1}\,f(x)\quad\mbox{where}\quad f(x)=\left\{\begin{array}{lr}x^2,&x\leq 1\\5x,&x\gt 1\end{array}\right.\end{equation}
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Lesson Parent:
Problem:
Determine \begin{equation}\lim_{x\to 1}\,f(x)\quad\mbox{where}\quad f(x)=\left\{\begin{array}{lr}x^2,&x\leq 1\\5x,&x\gt 1\end{array}\right.\end{equation}
Answer:
The function limit does not exist since the left-side and right-side limits are not equal.
