find the values of a and b that make f continuous everywhere fxleftbeg
Question
Find the values of a and b that make f continuous everywhere. f(x)=\left\{\begin{array}{ll}
\frac{x^{2}-4}{x-2} & \text { if } x<2 \\
a x^{2}-b x+3 & \text { if } 2 \leq x<3 \\
2 x-a+b & \text { if } x \geq 3
\end{array}\right.