Question
Find a and b if following functions are continuous at the point indicated against them.
$
\begin{aligned}
& f(x)=\frac{x^2-9}{x-3}+a, \text { for } x>3 \\
& =5, \text { for } x=3 \\
& =2 x^2+3 x+b, \text { for } x<3
\end{aligned}
$
is continuous at $x=3$