Question
Discuss the continuity of the following function at the point(s) or on the interval indicated against them:
$
\begin{aligned}
& =\frac{x^2-3 x-10}{x-5}, & & \text { for } 3 \leq x \leq 6, x \neq 5 \\
f(x) & =10, & & \text { for } x=5 \\
& =\frac{x^2-3 x-10}{x-5}, & & \text { for } 6\end{aligned}
$
$
\begin{aligned}
& =\frac{x^2-3 x-10}{x-5}, & & \text { for } 3 \leq x \leq 6, x \neq 5 \\
f(x) & =10, & & \text { for } x=5 \\
& =\frac{x^2-3 x-10}{x-5}, & & \text { for } 6\end{aligned}
$