Question
Which of the following functions has a removable discontinuity?
$\begin{array}{rlr}
f(x)=\frac{x^3-8}{x^2-4}, & & \text { for } x >2 \\
=3, & \text { for } x=2 \\
=\frac{e^{3(x-2)^2}-1}{2(x-2)^2}, & \text { for } x<2
\end{array}
$
$\begin{array}{rlr}
f(x)=\frac{x^3-8}{x^2-4}, & & \text { for } x >2 \\
=3, & \text { for } x=2 \\
=\frac{e^{3(x-2)^2}-1}{2(x-2)^2}, & \text { for } x<2
\end{array}
$